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

Sumit R. Das

doi:10.1016/0370-2693(90)91997-P

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

Sumit R. Das

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

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 λ_v, the gravitational scaling dimension Δ_i associated with some operator having SL(2,R) weight d_i is given by Δ_i= -d_i λ_v and not simply by d_i. This analysis resolves an apparent discrepancy between the conformal gauge and light-cone results for Δ_i in N = 1 supergravity.

Original language	English
Pages (from-to)	35-40
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	234
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(90)91997-P
State	Published - Jan 4 1990

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(90)91997-P

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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= -di λv 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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AB - 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= -di λv 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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Physical states, vacuum charges and exponents in two-dimensional quantum gravity and supergravity

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