DUALITY BETWEEN SU(N)K AND SU(K)N WZW MODELS

被引：55

作者：

NACULICH, SG ^{[1
]}

SCHNITZER, HJ ^{[1
]}

机构：

[1] BRANDEIS UNIV,DEPT PHYS,WALTHAM,MA 02254

来源：

NUCLEAR PHYSICS B | 1990年 / 347卷 / 03期

关键词：

D O I：

10.1016/0550-3213(90)90380-V

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 exhibit a duality of the SU(N)k WZW model under interchange of the group parameter N and the level k. The primary fields of SU(N)k and SU(k)N are related by transposition of their associated Young tableaux. The holomorphic blocks of the four-point functions of the primary fields are in one-to-one correspondence, and satisfy orthogonality and completeness relations with respect to one another. We derive these relations through a path integral realization of the SU(N)k WZW model in terms of a theory of constrained Dirac fermions. © 1990.

引用

页码：687 / 742

页数：56

共 54 条

[1] EXACT CRITICAL EXPONENTS FOR QUANTUM SPIN CHAINS, NONLINEAR SIGMA-MODELS AT THETA=PI AND THE QUANTUM HALL-EFFECT [J].