Supersymmetry and the cohomology of (hyper) Kahler manifolds

被引：23

作者：

FigueroaOFarrill, JM ^{[1
]}

Kohl, C ^{[1
]}

Spence, B ^{[1
]}

机构：

[1] ISAAC NEWTON INST MATH SCI,CAMBRIDGE CB3 0EH,ENGLAND

来源：

NUCLEAR PHYSICS B | 1997年 / 503卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1016/S0550-3213(97)00548-8

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：

The cohomology of a compact Kahler (hyperKahler) manifold admits the action of the Lie algebra so(2,1) (so(4,1)). In this paper we show, following an idea of Witten, how this action follows from supersymmetry, in particular from the symmetries of certain supersymmetric sigma models. In addition, many of the fundamental identities in Hodge-Lefschetz theory are also naturally derived from supersymmetry. (C) 1997 Elsevier Science B.V.

引用

页码：614 / 626

页数：13

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