Topological invariance in supersymmetric theories with a continuous spectrum |
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Authors: | Camillo Imbimbo Sunil Mukhi |
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Affiliation: | 1. École Normale Supérieure, Paris, France;2. International School for Advanced Studies, Trieste, Italy;3. Max Planck-Institut für Physik und Astrophysik, Werner Heisenberg-Institut für Physik, D-8000 Munich 40, Federal Republic of Germany;4. International Centre for Theoretical Physics, Trieste, Italy |
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Abstract: | We calculate the superpartition function tr(?1)Fe?βH with a continuous spectrum. This object depends explicitly on β although it is a topological invariant with respect to compact perturbations of the potential. We show that it can be evaluated by reducing the relevant functional integral to an integral over constant configurations. The relationship with the open-space trace theorem of Callias, Bott and Seeley is discussed. |
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