Duality symmetry of the p-form effective action and super trace of the twisted de Rham complex

Abstract

We consider quantum p-form fields interacting with a background dilaton. We calculate the variation with respect to the dilaton of a difference of the effective actions in the models related by a duality transformation. We show that this variation is defined essentially by the supertrace of the twisted de Rham complex. The supertrace is then evaluated on a manifold of an arbitrary dimension, with or without boundary.

elsart latex, 18pp

References in corpus (3)

• Dilaton Gravity in Two Dimensions
• Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario
• Bosonic M Theory

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• Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary
• Geometric theory of equiaffine curvature tensors