Extended supersymmetry with central charges in higher dimensional Dirac action

Fujimoto, Yukihiro; Hasegawa, Kouhei; Nishiwaki, Kenji; Sakamoto, Makoto; Tatsumi, Kentaro; Ueba, Inori (2019) Extended supersymmetry with central charges in higher dimensional Dirac action. Physical Review D, 99 (6). ISSN 2470-0010

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Abstract

new realization 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.

Item Type:	Article
Uncontrolled Keywords:	supersymmetry ; Dirac action
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer Bošković-RBI-TWINN-SIN Blazenka Melic KK.01.1.1.06.0006 EK
Depositing User:	Marina Mayer
Date Deposited:	19 May 2020 12:16
URI:	http://fulir.irb.hr/id/eprint/5813
DOI:	10.1103/PhysRevD.99.065002

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