Topological quantum field theory

Edward Witten

Research output: Contribution to journalArticlepeer-review

1432 Scopus citations

Abstract

A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical viewpoint; it is in a sense a generally covariant quantum field theory, albeit one in which general covariance is unbroken, there are no gravitons, and the only excitations are topological.

Original languageEnglish (US)
Pages (from-to)353-386
Number of pages34
JournalCommunications In Mathematical Physics
Volume117
Issue number3
DOIs
StatePublished - Sep 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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