Spin-1/2 Bosonization on Compact Surfaces
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Physical Sciences and Mathematics
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Bost, J. B
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We extend an existing Bose-Fermi equivalence formula to two-dimensional Euclidean space-times with arbitrary compact topology. The result relates the nonchiral Dirac partition function to that of a scalar field, times a theta function. The proof is a short application of methods from complex geometry and Quillen's determinant constructions.
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1986-08-01
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Physical Review Letters
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At the time of publication, author Philip C. Nelson was affiliated with Harvard University. Currently, he is a faculty member in the Physics & Astronomy Department at the University of Pennsylvania.