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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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