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


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 integrability to supersymmetric gauge and string theory, a subject of high and increasing interest in the mathematical and theoretical physics communities over the past decade. Relevant background material was also covered, with lecture series introducing the main concepts and techniques relevant to modern approaches to integrability, conformal field theory, scattering amplitudes, and gauge/string dualit ... More

Keywords: integrability, gauge theory, string theory, gauge/string duality, supersymmetry, statistical mechanics, condensed matter physics, conformal field theory, scattering amplitudes

Bibliographic Information

Print publication date: 2019 Print ISBN-13: 9780198828150
Published to Oxford Scholarship Online: September 2019 DOI:10.1093/oso/9780198828150.001.0001


Affiliations are at time of print publication.

Patrick Dorey, editor
Professor, Department of Mathematical Sciences, Durham University

Gregory Korchemsky, editor
Senior researcher, Centre national de la recherche scientifique (CNRS)

Nikita Nekrasov, editor
Professor, Stony Brook University

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1 Integrability in statistical physics and quantum spin chains

Jesper Lykke JACOBSEN, laboratoire de Physique Theorique, Ecole Normale Superieure, 24 Rue Lhomond, 75005 Paris, France

2 A guide to two-dimensional conformal field theory

Jörg TESCHNER, department of Mathematics, University of Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany and DESY theory, Notkestrasse 85, 20607 Hamburg, Germany

3 Lectures on the holographic duality of gauge fields and strings

Gordon W. SEMENOFF, department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, British Columbia, Canada V6T 1Z1

4 Introduction to scattering amplitudes

David A. KOSOWER, institut de Physique Théorique, Université Paris Saclay, CEA, CNRS, F-91191 Gif-sur-Yvette, France

5 Integrability in sigma-models

K. ZAREMBO, nordita, Stockholm University and KTH Royal Institute of Technology, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden department of Physics and Astronomy, Uppsala University SE-751 08 Uppsala, Sweden

6 Integrability in 2D fields theory/sigma-models

Sergei L. LUKYANOV and Alexander B. ZAMOLODCHIKOV, NHETC, Department of Physics and Astronomy Rutgers University Piscataway, NJ 08855-0849, USA

7 Applications of integrable models in condensed matter and cold atom physics

Fabian H.L. ESSLER, the Rudolf Peierls Centre for Theoretical Physics, Oxford University, Oxford OX1 3NP, UK

8 Introduction to integrability and one-point functions in N=4 supersymmetric Yang–Mills theory and its defect cousin

Marius de LEEUW, Asger C. IPSEN, Charlotte KRISTJANSEN, and Matthias WILHELM, niels Bohr Institute, Copenhagen University, Blegdamsvej 17, 2100 Copenhagen, Denmark

9 Spectrum of N=4 supersymmetric Yang–Mills theory and the quantum spectral curve

Nikolay GROMOV, mathematics Department, King’s College London, The Strand, London WC2R 2LS, UK. & St.Petersburg INP, Gatchina, 188 300, St.Petersburg, Russia

10 Three-point functions in N=4 supersymmetric Yang–Mills theory

Shota KOMATSU, school of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey USA

11 Localization and N=2 supersymmetric field theory

Vasily PESTUN, institut des Hautes Etudes Scientiques, Bures-sur-Yvette, France