GRAVITY, ASTROPHYSICS

Weyl anomaly in two-dimensional supergravity

D. R. Karakhanyan

Yerevan Physics Institute

Abstract: Two-dimensional supergravity theory is analyzed in terms of Weyl group cohomologies. A covariant nonlocal expression for the effective action is constructed. As in the case of ordinary gravity, its basic nonlocal part is determined by the well-known Polyakov action $R\frac{1}{\square}R$.

PACS: 04.65.+e, 11.25.Hf

Received: 30.07.1999
Revised: 22.01.2001

 English version: Journal of Experimental and Theoretical Physics Letters, 2001, 73:4, 157–161

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