Duality symmetry of the p-form effective action and supertrace of the twisted de Rham complex |
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| Affiliation: | 1. Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22-26, 04103 Leipzig, Germany;2. Department of Mathematics, Baylor University, Waco, TX 76798, USA;3. V. Fock Institute of Physics, St. Petersburg University, Russia;4. Theoretical Physics Institute, University of Alberta, Edmonton, Alberta T6G 2J1, Canada;5. Lebedev Physics Institute, Moscow, Russia;1. Department of Mathematics, National University of Singapore, Singapore 119076, Singapore;2. School of Mathematical Sciences, University of Adelaide, Adelaide 5005, Australia |
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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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