Elliptic genera and quantum field theory

Edward Witten

doi:10.1007/BF01208956

Elliptic genera and quantum field theory

Edward Witten

Physics

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

311 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	525-536
Number of pages	12
Journal	Communications In Mathematical Physics
Volume	109
Issue number	4
DOIs	https://doi.org/10.1007/BF01208956
State	Published - Dec 1987

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01208956

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abstract = "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.",

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AB - 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.

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Elliptic genera and quantum field theory

Abstract

All Science Journal Classification (ASJC) codes

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