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Supersymmetry and the Möbius inversion function
Authors:Donald Spector
Institution:(1) Institute for Theoretical Physics, University of Utrecht, Princetonplein 5, Postbus 80.006, NL-3508 TA Utrecht, The Netherlands
Abstract:We show that the Möbius inversion function of number theory can be interpreted as the operator (–1) F in quantum field theory. Consequently, we are able to provide physical interpretations for various properties of the Möbius inversion function. These include a physical understanding of the Möbius Inversion Formula and of a result that is equivalent to the prime number theorem. Supersymmetry and the Witten index play a central rôle in these constructions.
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