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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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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
Project titleProject leaderProject codeProject type
Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer Bošković-RBI-TWINN-SINBlazenka MelicKK.
Depositing User: Marina Mayer
Date Deposited: 19 May 2020 12:16
DOI: 10.1103/PhysRevD.99.065002

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