Date of this Version
Communications in Mathematical Physics
We prove the equivalence between certain fermionic and bosonic theories in two spacetime dimensions. The theories have fields of arbitrary spin on compact surfaces with any number of handles. Global considerations require that we add new topological terms to the bosonic action. The proof that our prescription is correct relies on methods of complex algebraic geometry.
Alvarez-Gaumé, L., Bost, J., Moore, G., Nelson, P. C., & Vafa, C. (1987). Bosonization on Higher Genus Riemann Surfaces. Communications in Mathematical Physics, 112 (3), 503-552. http://dx.doi.org/10.1007/BF01218489
Date Posted: 01 May 2017
This document has been peer reviewed.