Bosonization on higher genus Riemann surfaces

Luis Alvarez-Gaumé; Jean Benoît Bost; Gregory Moore; Philip Nelson; Cumrun Vafa

doi:10.1007/BF01218489

Bosonization on higher genus Riemann surfaces

Luis Alvarez-Gaumé, Jean Benoît Bost, Gregory Moore, Philip Nelson, Cumrun Vafa

Research output: Contribution to journal › Article › peer-review

166 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	503-552
Number of pages	50
Journal	Communications In Mathematical Physics
Volume	112
Issue number	3
DOIs	https://doi.org/10.1007/BF01218489
State	Published - Sep 1987
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Bosonization on higher genus Riemann surfaces",

abstract = "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.",

author = "Luis Alvarez-Gaum{\'e} and Bost, {Jean Beno{\^i}t} and Gregory Moore and Philip Nelson and Cumrun Vafa",

year = "1987",

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language = "English (US)",

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T1 - Bosonization on higher genus Riemann surfaces

AU - Alvarez-Gaumé, Luis

AU - Bost, Jean Benoît

AU - Moore, Gregory

AU - Nelson, Philip

AU - Vafa, Cumrun

PY - 1987/9

Y1 - 1987/9

N2 - 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.

AB - 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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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

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Bosonization on higher genus Riemann surfaces

Abstract

All Science Journal Classification (ASJC) codes

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