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A guide to two-dimensional conformal field theory

Jörg Teschner

in Integrability: From Statistical Systems to Gauge Theory: Lecture Notes of the Les Houches Summer School: Volume 106, June 2016

Published in print:
2019
Published Online:
September 2019
ISBN:
9780198828150
eISBN:
9780191866937
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198828150.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This is a review of two-dimensional conformal field theory including the Virasoro algebra, the bootstrap, and some of the relations to integrable models. An effort is made to develop the basic ... More


Conformal Symmetry in Statistical Mechanics

Hans-Peter Eckle

in Models of Quantum Matter: A First Course on Integrability and the Bethe Ansatz

Published in print:
2019
Published Online:
September 2019
ISBN:
9780199678839
eISBN:
9780191878589
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199678839.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

The core of the exposition of the theory of conformal symmetry in statistical mechanics are the concepts of correlation functions of order parameter fields, whose behaviour under conformal ... More


TWO-DIMENSIONAL FIELD THEORY AND BOSONIZATION

Kazuo Fujikawa and Hiroshi Suzuki

in Path Integrals and Quantum Anomalies

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the quantum anomalies in two-dimensional field theory. Two-dimensional field theory is important in connection with conformal field theory and its applications to string theory ... More


Modern Supersymmetry: Dynamics and Duality

John Terning

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567639
eISBN:
9780191718243
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567639.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The book begins with a brief review of supersymmetry, the construction of the minimal supersymmetric standard model, and approaches to supersymmetry breaking. General non-perturbative methods are ... More


Integrability in 2D fields theory/sigma-models

Sergei L. Lukyanov and Alexander B. Zamolodchikov

in Integrability: From Statistical Systems to Gauge Theory: Lecture Notes of the Les Houches Summer School: Volume 106, June 2016

Published in print:
2019
Published Online:
September 2019
ISBN:
9780198828150
eISBN:
9780191866937
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198828150.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This is a two-part course about the integrability of two-dimensional non-linear sigma models (2D NLSM). In the first part general aspects of classical integrability are discussed, based on the O(3) ... More


Conformal Field Theory of Free Bosonic and Fermionic Fields

Giuseppe Mussardo

in Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

Published in print:
2020
Published Online:
May 2020
ISBN:
9780198788102
eISBN:
9780191830082
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788102.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Free theories are usually regarded as trivial examples of quantum systems. This chapter proves that this is not the case of the conformal field theories associated to the free bosonic and fermionic ... More


An introduction to the gauge/gravity duality

Juan M. Maldacena

in Theoretical Physics to Face the Challenge of LHC: Lecture Notes of the Les Houches Summer School: Volume 97, August 2011

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198727965
eISBN:
9780191794278
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198727965.003.0006
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter is a short introduction to the gauge/gravity duality or AdS/CFT correspondence. After reviewing some basic facts about anti-de-Sitter space, the author describes some of the basic ... More


Theory of Quantum Hall States

Xiao-Gang Wen

in Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons

Published in print:
2007
Published Online:
February 2010
ISBN:
9780199227259
eISBN:
9780191713019
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227259.003.07
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Electrons on the interface of two semiconductors can form a new state of matter — fractional quantum Hall (FQH) state — under strong magnetic fields. FQH states cannot be described by Landau symmetry ... More


Integrability in statistical physics and quantum spin chains

Jesper Lykke Jacobsen

in Integrability: From Statistical Systems to Gauge Theory: Lecture Notes of the Les Houches Summer School: Volume 106, June 2016

Published in print:
2019
Published Online:
September 2019
ISBN:
9780198828150
eISBN:
9780191866937
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198828150.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter illustrates basic concepts of quantum integrable systems on two important models of statistical physics: the Q-state Potts model and the O(n) model. Both models are transformed into loop ... More


Integrability: From Statistical Systems to Gauge Theory: Lecture Notes of the Les Houches Summer School: Volume 106, June 2016

Patrick Dorey, Gregory Korchemsky, Nikita Nekrasov, Volker Schomerus, Didina Serban, and Leticia Cugliandolo (eds)

Published in print:
2019
Published Online:
September 2019
ISBN:
9780198828150
eISBN:
9780191866937
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198828150.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This volume contains lectures delivered at the Les Houches Summer School ‘Integrability: from statistical systems to gauge theory’ held in June 2016. The School was focussed on applications of ... More


Introduction

Razvan Gurau

in Random Tensors

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198787938
eISBN:
9780191829918
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198787938.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

This chapter presents an overview of the recent advances in random tensor models and their connections with quantum gravity, conformal field theory and statistical physics. Inspired by matrix models ... More


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