Liouville gravity from Einstein gravity
classification
🌀 gr-qc
hep-thmath-phmath.MP
keywords
gravityeinsteinepsilonlimitliouvillearisesbackbekenstein-hawking
read the original 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.
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