Supersymmetry in 5D gravity

Lim, C. S.; Nagasawa, Tomoaki; Ohya, Satoshi; Sakamoto, Kazuki; Sakamoto, Makoto

doi:10.1103/physrevd.77.045020

Cited by 22 publications

(28 citation statements)

References 75 publications

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“…The mode functions Φ (n) α,+ (y) (or g (n) α (y)) and Φ (n) α,− (y) (or f (n) α (y)) are (at least) doubly degenerate in the spectrum except for zero energy states (see Figure 1), and they form N = 2 supermultiplets. Thus, the N = 2 supersymmetry turns out to be hidden in the 4D spectrum of the higher dimensional Dirac theory, as well as higher dimensional gauge/gravity theories [16][17][18][19].…”

Section: Higher Dimensional Dirac Action and Kk Decompositionmentioning

confidence: 99%

Extended supersymmetry in Dirac action with extra dimensions

Fujimoto

Hasegawa

Nishiwaki

et al. 2018

J. Phys. A: Math. Theor.

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We investigate a new realization of extended quantum-mechanical supersymmetry. We first show that an N = 2 quantum-mechanical supersymmetry is hidden in the four-dimensional (4D) spectrum of the Kaluza-Klein decomposition for the higher dimensional Dirac field, that is, Kaluza-Klein mode functions of 4D right-handed spinors and 4D left-handed ones form N = 2 supermultiplets. In addition to N = 2 supersymmetry, we discover that an N-extended supersymmetry (N = d + 2 (d + 1) for d = even (odd) extra dimensions) is further hidden in the 4D spectrum. The extended symmetry can explain additional degeneracy of the spectrum. Furthermore, we show that a superpotential can be introduced into the N-extended supercharges and clarify the condition to preserve the supersymmetry. The partial breaking of the supersymmetry is also demonstrated.

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Section: Higher Dimensional Dirac Action and Kk Decompositionmentioning

confidence: 99%

Extended supersymmetry in Dirac action with extra dimensions

Fujimoto

Hasegawa

Nishiwaki

et al. 2018

J. Phys. A: Math. Theor.

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“…As in the previous analysis [46], the signs of the fermion bulk masses are assigned as M Q > 0, M U < 0, M D > 0 to make much larger overlapping in the up-quark sector than in down ones for 7 In Refs. [51][52][53], the 5D gauge invariance has been discussed from a quantum mechanical supersymmetry point of view. 8 Some related works are found in Refs.…”

Section: Cp Phase In the Ckm Matrixmentioning

confidence: 99%

CPphase from twisted Higgs vacuum expectation value in extra dimension

2013

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We propose a new mechanism for generating a CP phase via Higgs a vacuum expectation value originating from geometry of an extra dimension. A twisted boundary condition is the key to produce an extra-dimension coordinate-dependent vacuum expectation value, which contains a CP phase degree of freedom and can be a new source of a CP phase in higher-dimensional gauge theories. As an illustrative example, we apply our mechanism to a five-dimensional gauge theory with point interactions and show that our mechanism can dynamically produce a nontrivial CP -violating phase with electroweak symmetry breaking, even though the five-dimensional model does not include any CP -violating phases of Yukawa couplings in the five-dimensional Lagrangian because of a single generation of five-dimensional fermions. We apply our mechanism to a model with point interactions, which has no source of CP -violating phases in the couplings of the higher-dimensional action, and show that a nontrivial CP phase dynamically appears.

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“…Supersymmetric quantum mechanics in Dirac and gauge theories related has been studied in recent works. For the connection of extra dimensional gauge models and N = 2 supersymmetric quantum mechanics algebra (N = 2 susy QM thereafter) see [12,13]. Also localized fermions around superconducting cosmic strings are connected with N = 2 susy QM algebra, see [14].…”

Section: Introductionmentioning

confidence: 99%