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M Theory And Quantum Geometry


M Theory And Quantum Geometry
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M Theory And Quantum Geometry


M Theory And Quantum Geometry
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Author : Lárus Thorlacius
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-30

M Theory And Quantum Geometry written by Lárus Thorlacius and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-30 with Mathematics categories.


Proceedings of the NATO Advanced Study Institute on Quantum Geometry, held in Akureyri, Iceland, on August 9-20, 1999



M Theory And Quantum Geometry


M Theory And Quantum Geometry
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Author : Lárus Thorlacius
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

M Theory And Quantum Geometry written by Lárus Thorlacius and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


The fundamental structure of matter and spacetime at the shortest length scales remains an exciting frontier of basic research in theoretical physics. A unifying theme in this area is the quantization of geometrical objects. The majority of lectures at the Advanced Study Institute on Quantum Ge ometry in Akureyri was on recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary par ticles and interactions. The geometric concept of one-dimensional extended objects, or strings, has always been at the core of superstring theory but in recent years the focus has shifted to include also higher-dimensional ob jects, so called D-branes, which play a key role in the non-perturbative dynamics of the theory. A related development has seen the strong coupling regime of a given string theory identified with the weak coupling regime of what was previ ously believed to be a different theory, and a web of such" dualities" that interrelates all known superstring theories has emerged. The resulting uni fied theoretical framework, termed M-theory, has evolved at a rapid pace in recent years.



M Theory And Quantum Geometry


M Theory And Quantum Geometry
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Author : Larus Thorlacius
language : en
Publisher: Springer
Release Date : 2011-09-01

M Theory And Quantum Geometry written by Larus Thorlacius and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-01 with Science categories.


The fundamental structure of matter and spacetime at the shortest length scales remains an exciting frontier of basic research in theoretical physics. A unifying theme in this area is the quantization of geometrical objects. The majority of lectures at the Advanced Study Institute on Quantum Ge ometry in Akureyri was on recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary par ticles and interactions. The geometric concept of one-dimensional extended objects, or strings, has always been at the core of superstring theory but in recent years the focus has shifted to include also higher-dimensional ob jects, so called D-branes, which play a key role in the non-perturbative dynamics of the theory. A related development has seen the strong coupling regime of a given string theory identified with the weak coupling regime of what was previ ously believed to be a different theory, and a web of such" dualities" that interrelates all known superstring theories has emerged. The resulting uni fied theoretical framework, termed M-theory, has evolved at a rapid pace in recent years.



String Theory And M Theory


String Theory And M Theory
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Author : Katrin Becker
language : en
Publisher: Cambridge University Press
Release Date : 2006-12-07

String Theory And M Theory written by Katrin Becker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-07 with Science categories.


String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.



A Primer On String Theory


A Primer On String Theory
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Author : Volker Schomerus
language : en
Publisher: Cambridge University Press
Release Date : 2017-07-06

A Primer On String Theory written by Volker Schomerus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-06 with Science categories.


A concise introduction to string theory explaining central concepts, mathematical tools and recent developments in the field of physics. Covering fundamental concepts including how strings interact with each other, this book is perfect for students with no prior knowledge as well as scholars from other disciplines.



Instanton Counting Quantum Geometry And Algebra


Instanton Counting Quantum Geometry And Algebra
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Author : Taro Kimura
language : en
Publisher: Springer Nature
Release Date : 2021-07-05

Instanton Counting Quantum Geometry And Algebra written by Taro Kimura and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-05 with Science categories.


This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual Yang–Mills equation in four dimensions. In the first part of the book, starting with the systematic description of the instanton, how to integrate out the instanton moduli space is explained together with the equivariant localization formula. It is then illustrated that this formalism is generalized to various situations, including quiver and fractional quiver gauge theory, supergroup gauge theory. The second part of the book is devoted to the algebraic geometric description of supersymmetric gauge theory, known as the Seiberg–Witten theory, together with string/M-theory point of view. Based on its relation to integrable systems, how to quantize such a geometric structure via the Ω-deformation of gauge theory is addressed. The third part of the book focuses on the quantum algebraic structure of supersymmetric gauge theory. After introducing the free field realization of gauge theory, the underlying infinite dimensional algebraic structure is discussed with emphasis on the connection with representation theory of quiver, which leads to the notion of quiver W-algebra. It is then clarified that such a gauge theory construction of the algebra naturally gives rise to further affinization and elliptic deformation of W-algebra.



Noether Symmetries In Theories Of Gravity


Noether Symmetries In Theories Of Gravity
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Author : Francesco Bajardi
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-24

Noether Symmetries In Theories Of Gravity written by Francesco Bajardi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-24 with Science categories.


This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.



String Math 2015


String Math 2015
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Author : Si Li
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-11-28

String Math 2015 written by Si Li and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-28 with Mathematics categories.


This volume contains the proceedings of the conference String-Math 2015, which was held from December 31, 2015–January 4, 2016, at Tsinghua Sanya International Mathematics Forum in Sanya, China. Two of the main themes of this volume are frontier research on Calabi-Yau manifolds and mirror symmetry and the development of non-perturbative methods in supersymmetric gauge theories. The articles present state-of-the-art developments in these topics. String theory is a broad subject, which has profound connections with broad branches of modern mathematics. In the last decades, the prosperous interaction built upon the joint efforts from both mathematicians and physicists has given rise to marvelous deep results in supersymmetric gauge theory, topological string, M-theory and duality on the physics side, as well as in algebraic geometry, differential geometry, algebraic topology, representation theory and number theory on the mathematics side.



Contemporary Problems In Mathematical Physics Proceedings Of The Second International Workshop


Contemporary Problems In Mathematical Physics Proceedings Of The Second International Workshop
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Author : Jan Govaerts
language : en
Publisher: World Scientific
Release Date : 2002-10-18

Contemporary Problems In Mathematical Physics Proceedings Of The Second International Workshop written by Jan Govaerts and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-18 with Science categories.


The following topics are discussed in this volume: recent developments in operator theory, coherent states and wavelet analysis, geometric and topological methods in theoretical physics and quantum field theory, and applications of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. Two extensive sets of lecture notes on quantization techniques in general, and quantum gauge theories and strings as an avenue towards quantum geometry, are also included. The volume should be of interest to anyone working in a field using the mathematical methods associated with any of these topics.



Proceedings Of The Second International Workshop On Contemporary Problems In Mathematical Physics


Proceedings Of The Second International Workshop On Contemporary Problems In Mathematical Physics
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Author : Jan Govaerts
language : en
Publisher: World Scientific
Release Date : 2002

Proceedings Of The Second International Workshop On Contemporary Problems In Mathematical Physics written by Jan Govaerts and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.


The following topics are discussed in this volume: recent developments in operator theory, coherent states and wavelet analysis, geometric and topological methods in theoretical physics and quantum field theory, and applications of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. Two extensive sets of lecture notes on quantization techniques in general, and quantum gauge theories and strings as an avenue towards quantum geometry, are also included. The volume should be of interest to anyone working in a field using the mathematical methods associated with any of these topics.