Spin-½ Bosonization on Compact Surfaces
- 18 August 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 57 (7) , 795-798
- https://doi.org/10.1103/physrevlett.57.795
Abstract
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.Keywords
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