Elliptic genera and quantum field theory

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295 Scopus citations


It is shown that in elliptic cohomology - as recently formulated in the mathematical literature - the supercharge of the supersymmetric nonlinear signa model plays a role similar to the role of the Dirac operator in K-theory. This leads to several insights concerning both elliptic cohomology and string theory. Some of the relevant calculations have been done previously by Schellekens and Warner in a different context.

Original languageEnglish (US)
Pages (from-to)525-536
Number of pages12
JournalCommunications In Mathematical Physics
Issue number4
StatePublished - Dec 1987

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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