Integrability: From Statistical Systems to Gauge Theory
โ Scribed by Patrick Dorey, Gregory Korchemsky, Nikita Nekrasov, Volker Schomerus, Didina Serban, Leticia Cugliandolo
- Publisher
- Oxford University Press
- Year
- 2019
- Tongue
- English
- Leaves
- 573
- Series
- Lecture Notes of the Les Houches Summer School, v.106
- Edition
- First Edition.
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This volume, 106 of the Les Houches Summer School series, brings together applications of integrability to supersymmetric gauge and string theory.
The book focuses on the application of integrability and problems in quantum field theory. Particular emphasis is given to the exact solution of planar N=4 super-Yang-Mills theory and its relation with string theory on the one hand, and the exact determination of the low-energy physics of N=2 super-Yang-Mills theories on the other; links with other domains are also explored.
The purpose of the Les Houches Summer School was to bring together young researchers and specialists from statistical physics, condensed matter physics, gauge and string theory, and mathematics, to stimulate discussion across these different research areas.
โฆ Table of Contents
1: Jesper Lykke Jacobsen: Integrability in statistical systems and quantum spin chains2: Joerg Teschner: A guide to two-dimensional conformal field theory3: Gordon W. Semenoff: Lectures on the holographic duality of gauge fields and strings4: David Kosower: Introduction to Scattering Amplitudes5: Konstantin Zarembo: Integrability in Sigma-Models6: Sergei L. Lukyanov and Alexander B. Zamolodchikov: Integrability in 2D fields theory/sigma models7: Fabian H. L. Essler: Applications of Integrable Models in Condensed Matter and Cold Atom Physics8: Marius de Leeuw, Asger C. Ipsen, Charlotte Kristjansen, and Matthias Wilhelm: Introduction to Integrability and One-point Functions in N = 4 SYM and its Defect Cousin9: Nikolay Gromov: Spectrum of N=4 SYM and the Quantum Spectral Curve10: Shota Komatsu: Three-point Functions in N = 4 Supersymmetric Yang-Mills Theory11: Vesily Pestun: Localization and N=2 supersymmetric field theory
โฆ Subjects
Field theory (Physics) -- Congresses;String models -- Congresses;Integrals -- Congresses;Field theory (Physics);Integrals;String models
๐ SIMILAR VOLUMES
"Contents of the lectures. - For the convenience of the reader, and to set the scene, I will recall a few basic facts (definitions, constructions and examples) from the theory of integrable systems. I will also explain some classical examples, in connection with the Arnold-Liouville theorem. I will
I will present here some examples of integrable systems, all of them defined on the moduli space of flat connections on a trivial bundle over a surface. These examples have been constructed by (loldman, Jeffrey and Weitsman. lock. Alekseev, so that there will be nothing new in these notes. However,
The Hamiltonian form of the path integral for theories with a gauge freedom is reviewed along the lines developed by Batalin, Fradkin and Vilkovisky. The formalism, which can be applied to gauge theories with an open algebra without the need for auxiliary fields, heavily relies on the canonical form
This book provides an introduction to topological quantum field theory as well as discrete gauge theory with quantum groups. In contrast to much of the existing literature, the present approach is at the same time intuitive and mathematically rigorous, making extensive use of suitable diagrammatic m