Naslov
Extended supersymmetry with central charges in higher dimensional Dirac action

Autori
Fujimoto, Yukihiro ; Hasegawa, Kouhei ; Nishiwaki, Kenji ; Sakamoto, Makoto ; Tatsumi, Kentaro ; Ueba, Inori

Izvornik
Physical review. D (2470-0010) 99 (2019), 6; 065002, 11

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
supersymmetry ; Dirac action

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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