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A gravitational effective action on a finite triangulation

Albert Ko et al JHEP03(2006)021   doi: 10.1088/1126-6708/2006/03/021  Help

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Albert Ko1 and Martin Rocek2
1 Ward Melville High School, U.S.A.
2 C.N. Yang Institute for Theoretical Physics, SUNY, Stony Brook, NY 11794-3840, U.S.A.
E-mail: rocek@insti.physics.sunysb.edu

Abstract. We construct a function of the edge-lengths of a triangulated surface whose variation under a rescaling of all the edges that meet at a vertex is the defect angle at that vertex. We interpret this function as a gravitational effective action on the triangulation, and the variation as a trace anomaly.

Key words: Lattice Models of Gravity; 2D Gravity

E-print number: hep-th/0512293
Cited: by
Refers: to

Received 18 January 2006, accepted for publication 23 February 2006
Published 6 March 2006

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