Liouville gravity from Einstein gravity

Abstract

We show that Liouville gravity arises as the limit of pure Einstein gravity in 2+epsilon dimensions as epsilon goes to zero, provided Newton's constant scales with epsilon. Our procedure - spherical reduction, dualization, limit, dualizing back - passes several consistency tests: geometric properties, interactions with matter and the Bekenstein-Hawking entropy are as expected from Einstein gravity.

15 pages, uses diagrams.sty; v2: edited HTML version of abstract, added reference

References in corpus (3)

• Liouville Field Theory -- A decade after the revolution
• Weyl Symmetry and the Liouville Theory
• Duality in 2-dimensional dilaton gravity

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