On Rational Conformal Field Theories: Explicit Modular Formulae

被引：0
|
作者：
Antoine D. Coste
机构：
[1] CNRS and FB Math. Goethe University,
来源：
Letters in Mathematical Physics | 2005年 / 72卷
关键词：
rational conformal field theories; representations of modular group; classification; Galois groups in physics; characters; congruence subgroups; theta series.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We derive compact formulae for modular transformation matrices of Wess–Zumino–Witten (WZW) affine characters. We start in this text with the simple case of A1 algebra at positive level k=n-2, for which we can easily provide some description of isometry group and genus formula in a special case. We also point to general features of these expressions, formulating and proving theorems for rational conformal field theories (sometimes called RCFT’s) which seem new.
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页码：1 / 15
页数：14
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