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

P. Gilkey·K. Kirsten·D. Vassilevich·A. Zelnikov
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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.

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P. Gilkey, K. Kirsten, D. Vassilevich, A. Zelnikov. 2002-09-30. Duality symmetry of the p-form effective action and super trace of the twisted de Rham complex. https://doi.org/10.1016/s0550-3213(02)00975-6

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