Curved superspaces and local supersymmetry in supermatrix model
Volume
115
Pagination
1003 - 1025
Publisher
Journal
PROG THEOR PHYS
Issue
ISSN
0033-068X
Metadata
Show full item recordAbstract
In a previous paper, we introduced a new interpretation of matrix models, in which any d-dimensional curved space can be realized in terms of d matrices, and the diffeomorphism and the local Lorentz symmetries are included in the ordinary unitary symmetry of the matrix model. Furthermore, we showed that the Einstein equation is naturally obtained, if we employ the standard form of the action, S = −tr ([Aa, Ab][Aa, Ab]) + ⋯. In this paper, we extend this formalism to include supergravity. We show that the supercovariant derivatives on any d-dimensional curved space can be expressed in terms of d supermatrices, and the local supersymmetry can be regarded as a part of the superunitary symmetry. We further show that the Einstein and Rarita-Schwinger equations are compatible with the supermatrix generalization of the standard action.
Authors
Hanada, M; Kawai, H; Kimura, YCollections
- Mathematics [1686]