Supersymmetric Matrix model on Z-orbifold

Abstract

We find that the IIA Matrix models defined on the non-compact $C^3/Z_6$, $C^2/Z_2$ and $C^2/Z_4$ orbifolds preserve supersymmetry where the fermions are on-mass-shell Majorana-Weyl fermions. In these examples supersymmetry is preserved both in the orbifolded space and in the non-orbifolded space at the same time. The Matrix model on $C^3/Z_6$ orbifold has the same $\mathcal{N}=2$ supersymmetry as the case of $C^3/Z_3$ orbifold which was pointed out previously. On the other hand the Matrix models on $C^2/Z_2$ and $C^2/Z_4$ orbifold have a half of the $\mathcal{N}=2$ supersymmetry. We further find that the Matrix model on $C^2/Z_2$ orbifold with a parity-like identification preserves $\mathcal{N}=2$ supersymmetry.

21 pages, no figure

References in corpus (2)

• Orbifold Matrix Model
• Matrix Model on Z-Orbifold

Cited by in corpus (2)

• Matrix Orientifolding and Models with Four or Eight Supercharges
• Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions