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Introductory Lectures on Higher-Spin Theories

Author: Stefan Fredenhagen

Publisher: Springer

Published: 2024-09-23

Total Pages: 0

ISBN-13: 9783031596551

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The book offers a pedagogical introduction to higher-spin gauge theories. These theories build upon fundamental gauge theories that are crucial for understanding core interactions. Electromagnetism and nuclear forces are associated with gauge fields of spin 1, while gravity can be conceptualized as a gauge theory of spin 2. This prompts the intriguing inquiry: do higher-spin gauge theories exist? Such theories would extend gravity, incorporating massless gauge fields of spins higher than two. They appear to bear connections to string theory and offer a captivating framework for exploring gravity and aspects of quantum gravity. The book initiates with a primer offering a comprehensive discussion on higher spins, delving into the challenges of establishing coherent interactions. It then explores methodologies to surmount these challenges within three-dimensional space-time. Furthermore, it investigates the emergence of asymptotic symmetry algebras, establishing links to a holographic dual conformal theory. The final chapter introduces Vasiliev’s approach to higher-spin gauge theory in four dimensions. Designed for advanced students and young researchers in theoretical physics and mathematical physics, the book aims to elucidate fundamental ideas, concepts, and tools underpinning higher-spin gauge theories. The inclusion of numerous exercises complements and illustrates the content, preparing readers for engagement with the subject's original literature and ongoing developments. To fully engage with the book's arguments, a prerequisite understanding of field theories and conventional gauge theories, including gravity, is assumed.

Book Synopsis Introductory Lectures on Higher-Spin Theories by : Stefan Fredenhagen

Download or read book Introductory Lectures on Higher-Spin Theories written by Stefan Fredenhagen and published by Springer. This book was released on 2024-09-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a pedagogical introduction to higher-spin gauge theories. These theories build upon fundamental gauge theories that are crucial for understanding core interactions. Electromagnetism and nuclear forces are associated with gauge fields of spin 1, while gravity can be conceptualized as a gauge theory of spin 2. This prompts the intriguing inquiry: do higher-spin gauge theories exist? Such theories would extend gravity, incorporating massless gauge fields of spins higher than two. They appear to bear connections to string theory and offer a captivating framework for exploring gravity and aspects of quantum gravity. The book initiates with a primer offering a comprehensive discussion on higher spins, delving into the challenges of establishing coherent interactions. It then explores methodologies to surmount these challenges within three-dimensional space-time. Furthermore, it investigates the emergence of asymptotic symmetry algebras, establishing links to a holographic dual conformal theory. The final chapter introduces Vasiliev’s approach to higher-spin gauge theory in four dimensions. Designed for advanced students and young researchers in theoretical physics and mathematical physics, the book aims to elucidate fundamental ideas, concepts, and tools underpinning higher-spin gauge theories. The inclusion of numerous exercises complements and illustrates the content, preparing readers for engagement with the subject's original literature and ongoing developments. To fully engage with the book's arguments, a prerequisite understanding of field theories and conventional gauge theories, including gravity, is assumed.

Higher Spin Gauge Theories

Author: Lars Brink

Publisher: World Scientific

Published: 2016-11-01

Total Pages: 403

ISBN-13: 9813144114

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Symmetries play a fundamental role in physics. Non-Abelian gauge symmetries are the symmetries behind theories for massless spin-1 particles, while the reparametrization symmetry is behind Einstein's gravity theory for massless spin-2 particles. In supersymmetric theories these particles can be connected also to massless fermionic particles. Does Nature stop at spin-2 or can there also be massless higher spin theories. In the past strong indications have been given that such theories do not exist. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. With the advent of the AdS/CFT duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics.All these issues were discussed at a recent international workshop in Singapore where the leading scientists in the field participated. This volume presents an up-to-date, detailed overview of the theories including its historic background, as well as the latest accomplishments in understanding the foundational properties of higher spin physics.

Book Synopsis Higher Spin Gauge Theories by : Lars Brink

Download or read book Higher Spin Gauge Theories written by Lars Brink and published by World Scientific. This book was released on 2016-11-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries play a fundamental role in physics. Non-Abelian gauge symmetries are the symmetries behind theories for massless spin-1 particles, while the reparametrization symmetry is behind Einstein's gravity theory for massless spin-2 particles. In supersymmetric theories these particles can be connected also to massless fermionic particles. Does Nature stop at spin-2 or can there also be massless higher spin theories. In the past strong indications have been given that such theories do not exist. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. With the advent of the AdS/CFT duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics.All these issues were discussed at a recent international workshop in Singapore where the leading scientists in the field participated. This volume presents an up-to-date, detailed overview of the theories including its historic background, as well as the latest accomplishments in understanding the foundational properties of higher spin physics.

Modifications of Einstein's Theory of Gravity at Large Distances

Author: Eleftherios Papantonopoulos

Publisher: Springer

Published: 2014-11-04

Total Pages: 435

ISBN-13: 331910070X

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In the last few years modified gravity theories have been proposed as extensions of Einstein's theory of gravity. Their main motivation is to explain the latest cosmological and astrophysical data on dark energy and dark matter. The study of general relativity at small scales has already produced important results (cf e.g. LNP 863 Quantum Gravity and Quantum Cosmology) while its study at large scales is challenging because recent and upcoming observational results will provide important information on the validity of these modified theories. In this volume, various aspects of modified gravity at large scales will be discussed: high-curvature gravity theories; general scalar-tensor theories; Galileon theories and their cosmological applications; F(R) gravity theories; massive, new massive and topologically massive gravity; Chern-Simons modifications of general relativity (including holographic variants) and higher-spin gravity theories, to name but a few of the most important recent developments. Edited and authored by leading researchers in the field and cast into the form of a multi-author textbook at postgraduate level, this volume will be of benefit to all postgraduate students and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.

Book Synopsis Modifications of Einstein's Theory of Gravity at Large Distances by : Eleftherios Papantonopoulos

Download or read book Modifications of Einstein's Theory of Gravity at Large Distances written by Eleftherios Papantonopoulos and published by Springer. This book was released on 2014-11-04 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years modified gravity theories have been proposed as extensions of Einstein's theory of gravity. Their main motivation is to explain the latest cosmological and astrophysical data on dark energy and dark matter. The study of general relativity at small scales has already produced important results (cf e.g. LNP 863 Quantum Gravity and Quantum Cosmology) while its study at large scales is challenging because recent and upcoming observational results will provide important information on the validity of these modified theories. In this volume, various aspects of modified gravity at large scales will be discussed: high-curvature gravity theories; general scalar-tensor theories; Galileon theories and their cosmological applications; F(R) gravity theories; massive, new massive and topologically massive gravity; Chern-Simons modifications of general relativity (including holographic variants) and higher-spin gravity theories, to name but a few of the most important recent developments. Edited and authored by leading researchers in the field and cast into the form of a multi-author textbook at postgraduate level, this volume will be of benefit to all postgraduate students and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.

The Physics of Higher-spin Theories

Author: Pan Keßel

Publisher:

Published: 2016*

Total Pages: 0

ISBN-13:

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Book Synopsis The Physics of Higher-spin Theories by : Pan Keßel

Download or read book The Physics of Higher-spin Theories written by Pan Keßel and published by . This book was released on 2016* with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Frontiers In Fields And Strings (Tasi 2015) - Proceedings Of The 2015 Theoretical Advanced Study Institute In Elementary Particle Physics

Author: Joseph Polchinski

Publisher: World Scientific

Published: 2016-11-28

Total Pages: 624

ISBN-13: 9813149450

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This volume is a compilation of lectures delivered at the TASI 2015 summer school, 'New Frontiers in Fields and Strings', held at the University of Colorado Boulder in June 2015. The school focused on topics in theoretical physics of interest to contemporary researchers in quantum field theory and string theory. The lectures are accessible to graduate students in the initial stages of their research careers.

Book Synopsis New Frontiers In Fields And Strings (Tasi 2015) - Proceedings Of The 2015 Theoretical Advanced Study Institute In Elementary Particle Physics by : Joseph Polchinski

Download or read book New Frontiers In Fields And Strings (Tasi 2015) - Proceedings Of The 2015 Theoretical Advanced Study Institute In Elementary Particle Physics written by Joseph Polchinski and published by World Scientific. This book was released on 2016-11-28 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a compilation of lectures delivered at the TASI 2015 summer school, 'New Frontiers in Fields and Strings', held at the University of Colorado Boulder in June 2015. The school focused on topics in theoretical physics of interest to contemporary researchers in quantum field theory and string theory. The lectures are accessible to graduate students in the initial stages of their research careers.

Symmetry And Spin In Standard Model - Proceedings Of The Seventh Lake Louise Winter Institute

Author: Faqir C Khanna

Publisher: World Scientific

Published: 1992-12-09

Total Pages: 450

ISBN-13: 9814554685

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The subject of this Institute is the importance of Spin and Symmetry measurements in probing the Standard Model and QCD, polarization in lepton-quark interactions, nucleon spin structure functions, spin effects in high energy hadronic interactions, and electromagnetic spin physics at medium energies.The pedagogical nature of the invited talks makes this book suitable for senior graduate students and subatomic physicists in general, while the specialist talks make the volume useful to practitioners in the field.

Book Synopsis Symmetry And Spin In Standard Model - Proceedings Of The Seventh Lake Louise Winter Institute by : Faqir C Khanna

Download or read book Symmetry And Spin In Standard Model - Proceedings Of The Seventh Lake Louise Winter Institute written by Faqir C Khanna and published by World Scientific. This book was released on 1992-12-09 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this Institute is the importance of Spin and Symmetry measurements in probing the Standard Model and QCD, polarization in lepton-quark interactions, nucleon spin structure functions, spin effects in high energy hadronic interactions, and electromagnetic spin physics at medium energies.The pedagogical nature of the invited talks makes this book suitable for senior graduate students and subatomic physicists in general, while the specialist talks make the volume useful to practitioners in the field.

Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution

Author: Malte Henkel

Publisher: Springer Science & Business Media

Published: 2012-04-04

Total Pages: 200

ISBN-13: 3642279333

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Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties. Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike.

Book Synopsis Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution by : Malte Henkel

Download or read book Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2012-04-04 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties. Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike.

[Set Higher Spin Field Theory, Vol 1+2]

Author: Anders Bengtsson

Publisher: de Gruyter

Published: 2023

Total Pages: 0

ISBN-13: 9783110694871

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Book Synopsis [Set Higher Spin Field Theory, Vol 1+2] by : Anders Bengtsson

Download or read book [Set Higher Spin Field Theory, Vol 1+2] written by Anders Bengtsson and published by de Gruyter. This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Field Theory and Topology

Author: Daniel S. Freed

Publisher: American Mathematical Soc.

Published: 2019-08-23

Total Pages: 186

ISBN-13: 1470452065

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These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.

Book Synopsis Lectures on Field Theory and Topology by : Daniel S. Freed

Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2019-08-23 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.

From The Planck Scale To The Weak Scale: Toward A Theory Of The Universe - Proceedings Of The Theoretical Advanced Study Institute In Elementary Particle Physics (In 2 Volumes)

Author: Howard E Haber

Publisher: World Scientific

Published: 1987-10-31

Total Pages: 981

ISBN-13: 9814590649

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The attempt to understand the nature of particle physics at the weak scale is the major goal of the current generation of collider facilities. Theorists attempt to stretch their theories to the Planck scale and beyond with the very ambitious theory of superstrings. Particle physics at all energy scales has important implications for the theory of the Early Universe. Lectures on Standard Model, Grand Unification and Supersymmetry and the present status of string and superstring theory are given by both theorists and experimentalists in a complete and pedagogical manner. Finally, lectures notes on the Early Universe, galaxy formation, and high energy colliders are directed specifically at particle physicists.

Book Synopsis From The Planck Scale To The Weak Scale: Toward A Theory Of The Universe - Proceedings Of The Theoretical Advanced Study Institute In Elementary Particle Physics (In 2 Volumes) by : Howard E Haber

Download or read book From The Planck Scale To The Weak Scale: Toward A Theory Of The Universe - Proceedings Of The Theoretical Advanced Study Institute In Elementary Particle Physics (In 2 Volumes) written by Howard E Haber and published by World Scientific. This book was released on 1987-10-31 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: The attempt to understand the nature of particle physics at the weak scale is the major goal of the current generation of collider facilities. Theorists attempt to stretch their theories to the Planck scale and beyond with the very ambitious theory of superstrings. Particle physics at all energy scales has important implications for the theory of the Early Universe. Lectures on Standard Model, Grand Unification and Supersymmetry and the present status of string and superstring theory are given by both theorists and experimentalists in a complete and pedagogical manner. Finally, lectures notes on the Early Universe, galaxy formation, and high energy colliders are directed specifically at particle physicists.