2-$D$ Quantum Gravity and Liouville Theory

D'Hoker, Eric; Kurzepa, P.S.

doi:10.1142/S0217732390001608

2- $D$ Quantum Gravity and Liouville Theory

Eric D'Hoker
(
- UCLA
)
,
P.S. Kurzepa
(
- UCLA
)

May 16, 1990

14 pages

Published in:

Mod.Phys.Lett.A 5 (1990) 1411-1422

DOI:

10.1142/S0217732390001608

Report number:

UCLA/90/TEP/15

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Abstract: (WSP)

We quantize the Liouville theory, or 2-D quantum gravity, and quantum supergravity in the conformal gauge. We explicitly calculate the Jacobian accompanying the change from the Weyl invariant measure to the translation invariant one. We show that it is of the same form as the original Liouville action, thus establishing a conjecture of David and Distler and Kawai. This calculation yields dressed gravitational central charges and anomalous dimensions from first principles.

quantum gravity
field theory: Liouville
dimension: 2
supergravity
conformal gauge
quantization
path integral
regularization: heat kernel
Dyson-Schwinger equation

References(32)

Figures(0)

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2- $D$ Quantum Gravity and Liouville Theory