Extrinsic Curvature Induced 2-d Gravity

Details Extrinsic Curvature Induced 2-d Gravity Extrinsic Curvature Induced 2-d Gravity

1993-07-05

arxiv.org/abs/hep-th/9307028v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages in latex, SFU-HEP-105-93

Scientific paper

Abtract: 2-dimensional fermions are coupled to extrinsic geometry of a conformally immersed surface in ${\bf R}^3$ through gauge coupling. By integrating out the fermions, we obtain a WZNW action involving extrinsic curvature of the surface. Restricting the resulting effective action to surfaces of $h\sqrt g=1$, an explicit form of the action invariant under Virasaro symmetry is obtained. This action is a sum of the geometric action for the Virasaro group and the light-cone action of 2-d gravity plus an interaction term. The central charges of the theory in both the left and right sectors are calculated.

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