Crossing symmetry and modular invariance in conformal field theory and S duality in gauge theory

被引：20

作者：

Nanopoulos, Dimitri V. ^{[1
,2
,3
]}

Xie, Dan ^{[1
]}

机构：

[1] Texas A&M Univ, George P & Cynthia W Mitchell Inst Fundamental Ph, College Stn, TX 77843 USA

[2] HARC, Astroparticle Phys Grp, The Woodlands, TX 77381 USA

[3] Acad Athens, Div Nat Sci, Athens 10679, Greece

来源：

PHYSICAL REVIEW D | 2009年 / 80卷 / 10期

关键词：

MONOPOLES;

D O I：

10.1103/PhysRevD.80.105015

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, we explore the relation between crossing symmetry and modular invariance in conformal field theory and S duality in gauge theory. It is shown that partition functions of different S dual theories of N=2 SU(2) gauge theory with four fundamentals can be derived from the crossing symmetry of the Liouville four-point function. We also show that the partition function of N=4 SU(2) gauge theory can be derived from the Liouville partition function on torus.

引用

页数：5

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