Physical states, vacuum charges and exponents in two-dimensional quantum gravity and supergravity

Das, Sumit R. (1990) Physical states, vacuum charges and exponents in two-dimensional quantum gravity and supergravity Physics Letters B, 234 (1-2). pp. 35-40. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(90)91997-P

Abstract

We study the physical state conditions in two-dimensional quantum gravity and supergravity in the light-cone gauge using the BRST formalism. We show that due to the presence of a nontrivial SL (2,R) weight of the vacuum λv, the gravitational scaling dimension Δi associated with some operator having SL(2,R) weight di is given by Δi=-div and not simply by di. This analysis resolves an apparent discrepancy between the conformal gauge and light-cone results for Δi in N = 1 supergravity.

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ID Code:8697
Deposited On:28 Oct 2010 11:02
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