Generalized Kahler Geometry in View of Supersymmetric Quantum Mechanics

被引：0

作者：

Yicao Wang

机构：

[1] University of Science and Technology of China,Department of Mathematics

来源：

International Journal of Theoretical Physics | 2011年 / 50卷

关键词：

Generalized Kahler geometry; Supersymmetric quantum mechanics; Peierls brackets; Index theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper contains a detailed study of generalized Kahler geometry from the viewpoint of quantum 0+1-dimensional supersymmetric σ-model. Peierls brackets rather than canonical quantization are used to quantize the superclassical system. Supercharges (or relevant differential operators) are expressed explicitly and covariantly. Index theorems in this context are also discussed briefly.

引用

页码：1296 / 1304

页数：8

共 6 条

[1] Bismut J.M.(1989)A local index theorem for non Kahler manifolds Math. Ann. 284 681-699
[2] Frohlich J.(1998)Supersymmetric quantum theory and differential geometry Commun. Math. Phys. 193 527-594
[3] Grondjean O.(1988)A note on the Atiyah-Singer index theorem for manifolds with totally antisymmetric torsion J. Phys. A, Math. Gen. 21 2279-2290
[4] Recknagel A.(2007)Bi Hermitian supersymmetric quantum mechanics Class. Quantum Gravity 24 2073-2097
[5] Mavromatos N.E.(undefined)undefined undefined undefined undefined-undefined
[6] Zucchini R.(undefined)undefined undefined undefined undefined-undefined

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