On Gauge-Invariant Boundary Conditions for 2d Gravity with Dynamical torsion

Abstract

In the example of $R^2+T^2$ gravity on the unit two dimensional disk we demonstrate that in the presence of an independent spin connection it is possible to define local gauge invariant boundary conditions even on boundaries which are not totally geodesic. One-loop partition function and the corresponding heat kernel are calculated.

7 pages, LATeX,no figures

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