Vanishing of the supermembrane partition function

Mathematics

Scientific paper

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Field Theory (Physics), Partitions (Mathematics), Perturbation Theory, Quantum Mechanics, Supersymmetry, Bosons, Fermions, Hamiltonian Functions, Membranes, Space-Time Functions

Scientific paper

Using the method for collective coordinates, it is established that the
partition function of the supermembrane (in quantum-mechanical theories
of extended objects) vanishes. It is concluded that the supersymmetric
Fermi-Bose degeneracy of energy levels is preserved in perturbation
theory.

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