Extended supersymmetry with central charges in higher dimensional Dirac action

被引：3

作者：

Fujimoto, Yukihiro ^{[1
]}

Hasegawa, Kouhei ^{[2
]}

Nishiwaki, Kenji ^{[3
,4
]}

Sakamoto, Makoto ^{[2
]}

Tatsumi, Kentaro ^{[2
]}

Ueba, Inori ^{[2
]}

机构：

[1] Natl Inst Technol, Oita Coll, Oita 8700152, Japan

[2] Kobe Univ, Dept Phys, Kobe, Hyogo 6578501, Japan

[3] Rudjer Boskovic Inst, Div Theoret Phys, Zagreb 10000, Croatia

[4] Korea Inst Adv Study, Sch Phys, Seoul 02455, South Korea

来源：

PHYSICAL REVIEW D | 2019年 / 99卷 / 06期

基金：

欧盟地平线“2020”;

关键词：

BLACK-HOLES; BREAKING; MONOPOLE; SPINORS; TRANSFORMATIONS; POTENTIALS; MECHANICS; DUALITY; SPACE;

D O I：

10.1103/PhysRevD.99.065002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A new realisation of extended quantum-mechanical supersymmetry (QM SUSY) with central extension is investigated. We first show that two different sets of d + 2 (d + 1) supercharges for d = even (odd), each of which satisfies an N = d + 2 (d + 1) extended QM SUSY algebra without central extension, are hidden in the four-dimensional mass spectrum of the (4 + d)-dimensional Dirac action. We then find that the whole set of the supercharges forms an N = 2d + 4 (2d + 2) extended QM SUSY algebra with central charges for d = even (odd). The representation of the supersymmetry algebra is shown to be 1/2-Bogomol'nyi-Prasad-Sommerfield states that correspond to a short representation for the supersymmetry algebra with a central extension. We explicitly examine the four-dimensional mass spectrum of the models with the hyperrectangle and the torus extra dimensions, and discuss their supersymmetric structures.

引用

页数：11

共 54 条

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