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Bosonization on higher genus Riemann surfaces

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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.

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Author notes

  1. Luis Alvarez-Gaumé & Philip Nelson

    Present address: Department of Physics, Boston University, 02215, Boston, MA, USA

  2. Gregory Moore

    Present address: Institute for Advanced Study, 08540, Princeton, NJ, USA

Authors and Affiliations

  1. Theory Division, CERN, CH-1211, Genève 23, Switzerland

    Luis Alvarez-Gaumé

  2. Ecole Normale Supérieure, 45 Rue d'Ulm, F-75230, Paris Cedex 05, France

    Jean-Benoît Bost

  3. Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA

    Gregory Moore, Philip Nelson & Cumrun Vafa

Authors
  1. Luis Alvarez-Gaumé
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  2. Jean-Benoît Bost
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  3. Gregory Moore
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  4. Philip Nelson
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  5. Cumrun Vafa
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Additional information

Communicated by A. Jaffe

Work supported in part by NSF grant PHY-82-15249 and DOE contracts DE-FG02-84-ER-40164-A001 and DE-AC02-76ER02220

Alfred P. Sloan Foundation Fellow

Harvard Society of Fellows

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Alvarez-Gaumé, L., Bost, JB., Moore, G. et al. Bosonization on higher genus Riemann surfaces. Commun.Math. Phys. 112, 503–552 (1987). https://doi.org/10.1007/BF01218489

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  • DOI: https://doi.org/10.1007/BF01218489

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