Supersymmetric Yang-Mills theory and integrable systems

被引：541

作者：

Donagi, R ^{[1
]}

Witten, E ^{[1
]}

机构：

[1] INST ADV STUDY,SCH NAT SCI,PRINCETON,NJ 08540

来源：

NUCLEAR PHYSICS B | 1996年 / 460卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(95)00609-5

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The Coulomb branch of N = 2 supersymmetric gauge theories in four dimensions is described in general by an integrable Hamiltonian system in the holomorphic sense. A natural construction of such systems comes from two-dimensional gauge theory and spectral curves. Starting from this point of view, we propose an integrable system relevant to the N = 2 SU(n) gauge theory with a hypermultiplet in the adjoint representation, and offer much evidence that it is correct. The model has an SL(2,Z) S-duality group (with the central element -1 of SL(2,Z) acting as charge conjugation); SL(2,Z) permutes the Higgs, confining, and oblique confining phases in the expected fashion. We also study more exotic phases.

引用

页码：299 / 334

页数：36

共 27 条

[1]

ARGYRES P, HEPTH9503163

[2] VACUUM-STRUCTURE AND SPECTRUM OF N=2 SUPERSYMMETRIC SU(N) GAUGE-THEORY [J].