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Prog. Theor. Phys. Vol. 115 No. 5 (2006) pp. 1003-1025

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Curved Superspaces and Local Supersymmetry in Supermatrix Model

Masanori Hanada,1,* Hikaru Kawai1,2,** and Yusuke Kimura1,***$

1Department of Physics, Kyoto University, Kyoto 606-8502, Japan
2Theoretical Physics Laboratory, RIKEN, Wako 351-0198, Japan

(Received February 22, 2006)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTP/115/1003/
DOI : 10.1143/PTP.115.1003


*E-mail: hana@gauge.scphys.kyoto-u.ac.jp
**E-mail: hkawai@gauge.scphys.kyoto-u.ac.jp
***E-mail: ykimura@gauge.scphys.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (256K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 115 No. 6 (2006) pp. 1189-1209 :
    Regularization of the Covariant Derivative on Curved Space by Finite Matrices
    Masanori Hanada
  2. Progress of Theoretical Physics Supplement No.171 (2007) pp. 99-109 :
    Curved Space-Times in Matrix Models
    Hikaru Kawai

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