Supersymmetry of the Chiral de Rham Complex 2: Commuting Sectors

被引：17

作者：

Heluani, Reimundo ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2009年 / 2009卷 / 06期

关键词：

D O I：

10.1093/imrn/rnn145

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct two commuting N = 2 structures on the space of sections of the chiral de Rham complex (CDR) of a Calabi-Yau manifold. We use this extra supersymmetry to construct a nonlinear automorphism of CDR preserving these N = 2 structures. Finally, we show how to extend these results to construct a commuting pair of N = 4 super vertex algebras in the HyperKahler case.

引用

页码：953 / 987

页数：35

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