Bosonization on higher genus Riemann surfaces

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

Research output: Contribution to journalArticlepeer-review

166 Scopus citations


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 languageEnglish (US)
Pages (from-to)503-552
Number of pages50
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Sep 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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