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Two Dimensional Gauge Theories Revisited

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arxiv hep-th/9204083 v1 pith:R7XMVEEN submitted 1992-04-24 hep-th

Edward Witten This is my paper · ORCID
classification hep-th
keywords theorytopologicaldimensionaldimensionsgravityphysicalrelationyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal
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Topological gravity is equivalent to physical gravity in two dimensions in a way that is still mysterious, though by now it has been proved by Kontsevich. In this paper it is shown that a similar relation between topological and physical Yang-Mills theory holds in two dimensions; in this case, however, the relation can be explained by a direct mapping between the two path integrals. This (1) explains many strange facts about two dimensional Yang-Mills theory, like the way the partition function can be expressed exactly as a sum over classical solutions, including unstable ones; (2) makes the corresponding topological theory completely computable.

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Cited by 7 Pith papers

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