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

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

2002-09-15

arxiv.org/abs/hep-th/0209125v2

Nucl.Phys. B648 (2003) 542-556

Physics

High Energy Physics

High Energy Physics - Theory

elsart latex, 18pp

Scientific paper

10.1016/S0550-3213(02)00975-6

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.

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