Quiver gauge theories and integrable lattice models

被引:26
作者
Yagi, Junya [1 ,2 ]
机构
[1] Int Sch Adv Studies SISSA, I-34136 Trieste, Italy
[2] Ist Nazl Fis Nucl, Sez Trieste, I-34149 Trieste, Italy
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 10期
关键词
Supersymmetric gauge theory; Brane Dynamics in Gauge Theories; Lattice Integrable Models; Topological Field Theories; ELLIPTIC BETA-INTEGRALS; YANG-BAXTER EQUATION; N=1; OPERATORS; DUALITY; GENERA; INDEX;
D O I
10.1007/JHEP10(2015)065
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
We discuss connections between certain classes of supersymmetric quiver gauge theories and integrable lattice models from the point of view of topological quantum field theories (TQFTs). The relevant classes include 4d N = 1 theories known as brane box and brane tilling models, 3d N = 2 and 2d N = (2, 2) theories obtained from them by compactification, and 2d N = (0, 2) theories closely related to these theories. We argue that their supersymmetric indices carry structures of TQFTs equipped with line operators, and as a consequence, are equal to the partition functions of lattice models. The integrability of these models follows from the existence of extra dimension in the TQFTs, which emerges after the theories are embedded in M-theory. The Yang-Baxter equation expresses the invariance of supersymmetric indices under Seiberg duality and its lower-dimensional analogs.
引用
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页数:47
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