Gauge theories, vertex models, and quantum groups

Edward Witten

Research output: Contribution to journalArticlepeer-review

208 Scopus citations

Abstract

It is known that the Jones polynomial of knot theory, and its generalizations, are closely related to the integrable "vertex models" of two-dimensional statistical mechanics, and to quantum groups. In this paper, an attempt is made to show on a priori grounds, starting only from general covariance of three-dimensional Chern-Simons gauge theory and two-dimensional "duality", why this must be so.

Original languageEnglish (US)
Pages (from-to)285-346
Number of pages62
JournalNuclear Physics, Section B
Volume330
Issue number2-3
DOIs
StatePublished - Jan 29 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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