Published 2022 | Version v1
Journal article Metadata-only

2D Integrable systems, 4D Chern-Simons theory and affine Higgs bundles

Creators

  • 1. National Research University Higher School of Economics, Russian Federation, Usacheva str. 6, 119048, Moscow (Russian Federation)
  • 2. Institute of Theoretical and Experimental Physics, NRCKI, B. Cheremushkinskaya, 25, 117259, Moscow (Russian Federation)
  • 3. Institute for Information Transmission Problems RAS (Kharkevich Institute), Bolshoy Karetny per. 19, 127994, Moscow (Russian Federation)
  • 4. Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, 119991, Moscow (Russian Federation)

Description

We compare the construction of 2D integrable models through two gauge field theories. The first one is the 4D Chern-Simons (4D-CS) theory proposed by Costello and Yamazaki. The second one is the 2D generalization of the Hitchin integrable systems constructed by means of affine Higgs bundles (AHB). We illustrate the latter approach by considering 1 + 1 field versions of integrable systems including the Calogero-Moser field theory, the Landau-Lifshitz model and the field theory generalization of the elliptic Gaudin model.

Availability note (English)

Available from: http://dx.doi.org/10.1140/epjc/s10052-022-10553-0

Additional details

Identifiers

DOI
10.1140/epjc/s10052-022-10553-0;

Publishing Information

Journal Title
European Physical Journal. C, Particles and Fields (Online)
Journal Volume
82
Journal Issue
7
Journal Page Range
vp.
ISSN
1434-6052
CODEN
EPCFFB

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
53109839
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
GAUGE INVARIANCE; HIGGS BOSONS; HIGGS MODEL; INTEGRABLE SYSTEMS; QUANTUM FIELD THEORY
Descriptors DEC
BOSONS; DYNAMICAL SYSTEMS; ELEMENTARY PARTICLES; FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; PARTICLE MODELS

Optional Information

Notes
AID: 635