ELLIPTIC GENERA AND N = 2 SUPERCONFORMAL FIELD-THEORY

被引：151

作者：

KAWAI, T ^{[1
]}

YAMADA, Y ^{[1
]}

YANG, SK ^{[1
]}

机构：

[1] UNIV TSUKUBA,TSUKUBA,IBARAKI 305,JAPAN

来源：

NUCLEAR PHYSICS B | 1994年 / 414卷 / 1-2期

关键词：

D O I：

10.1016/0550-3213(94)90428-6

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：

Recently Witten proposed to consider the elliptic genus in N = 2 superconformal field theory to understand the relation between N = 2 minimal models and Landau-Ginzburg theories. In this paper we first discuss the basic properties satisfied by elliptic genera in N = 2 theories. These properties are confirmed by some fundamental class of examples. Then we introduce a generic procedure to compute the elliptic genera of a particular class of orbifold theories, i.e. the ones orbifoldized by e2piiJ0 in the Neveu-Schwarz sector. This enables us to calculate the elliptic genera for Landau-Ginzburg orbifolds. When the Landau-Ginzburg orbifolds allow an interpretation as target manifolds with SU(N) holonomy we can compare the expressions with the ones obtained by orbifoldizing tensor products of N = 2 minimal models. We also give sigma model expressions of the elliptic genera for manifolds of SU(N) holonomy.

引用

页码：191 / 212

页数：22

共 40 条

[1] STRING THEORY AND LOOP SPACE INDEX THEOREMS [J].