Self-duality and supersymmetry

被引:18
作者
Konyushikhin, Maxim [1 ,2 ]
Smilga, Andrei V. [1 ,2 ]
机构
[1] Univ Nantes, SUBATECH, F-44307 Nantes, France
[2] Inst Theoret & Expt Phys, Moscow 117259, Russia
关键词
Extended supersymmetry; Self-duality; Harmonic superspace; ATIYAH-SINGER INDEX;
D O I
10.1016/j.physletb.2010.04.048
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We observe that the Hamiltonian H = (sic)(2), where (sic) is the flat 4d Dirac operator in a self-dual gauge background, is supersymmetric, admitting 4 different real supercharges. A generalization of this model to the motion on a curved conformally flat 4d manifold exists. For an Abelian self-dual background, the corresponding Lagrangian can be derived from known harmonic superspace expressions. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:95 / 100
页数:6
相关论文
共 12 条
[11]   HOW TO QUANTIZE SUPERSYMMETRIC THEORIES [J].
SMILGA, AV .
NUCLEAR PHYSICS B, 1987, 292 (02) :363-380
[12]   PERTURBATIVE CORRECTIONS TO EFFECTIVE ZERO-MODE HAMILTONIAN IN SUPERSYMMETRIC QED [J].
SMILGA, AV .
NUCLEAR PHYSICS B, 1987, 291 (02) :241-255