Induced (N,0) supergravity as a constrained Osp(N,2) WZWN model and its effective action

Details Induced (N,0) supergravity as a constrained Osp(N,2) WZWN model and its effective action Induced (N,0) supergravity as a constrained Osp(N,2) WZWN model and its effective action

1992-05-26

arxiv.org/abs/hep-th/9205093v1

Nucl.Phys. B389 (1993) 25-52

Physics

High Energy Physics

High Energy Physics - Theory

23p

Scientific paper

10.1016/0550-3213(93)90284-V

A chiral $(N,0) $ supergravity theory in d=2 dimensions for any $N$ and its induced action can be obtained by constraining the currents of an Osp(N$|$2) WZWN model. The underlying symmetry algebras are the nonlinear SO(N) superconformal algebras of Knizhnik and Bershadsky. The case $N=3$ is worked out in detail. We show that by adding quantum corrections to the classical transformation rules, the gauge algebra on gauge fields and currents closes. Integrability conditions on Ward identities are derived. The effective action is computed at one loop. It is finite, and can be obtained from the induced action by rescaling the central charge and fields by finite Z factors.

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