Bosonization on Higher Genus Riemann Surfaces

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Physical Sciences and Mathematics
Physics
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Alvarez-Gaumé, Luis
Bost, Jean-Benoît
Moore, Gregory
Vafa, Cumrun
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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.

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1987-09-01
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Communications in Mathematical Physics
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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.
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