de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics

被引：0

作者：

Oshima, K ^{[1
]}

机构：

[1] Gunma Coll Technol, Maebashi, Gumma 3718530, Japan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 06期

关键词：

D O I：

10.1063/1.532242

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study supersymmetric quantum mechanics on RPn, SO(n), G(2), and U(2) to examine Witten's Morse theory concretely. We confirm the simple instanton picture of the de Rham cohomology that has been given in a previous paper. We use a reflection symmetry of each theory to select the true vacuums. The number of selected vacuums agrees with the de Rham cohomology for each of the above manifolds. (C) 1998 American Institute of Physics.

引用

页码：3120 / 3130

页数：11

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