Integrable hierarchies in Donaldson-Witten and Seiberg-Witten theories

dc.creatorEdelstein, Jose D.
dc.creatorGomez-Reino, Marta
dc.date2000-10-09
dc.date.accessioned2026-07-07T04:10:40Z
dc.date.available2026-07-07T04:10:40Z
dc.descriptionWe review various aspects of integrable hierarchies appearing in N=2 supersymmetric gauge theories. In particular, we show that the blowup function in Donaldson-Witten theory, up to a redefinition of the fast times, is a tau function for a g-gap solution of the KdV hierarchy. In the case of four-manifolds of simple type, instead, the blowup function becomes a tau function corresponding to a multisoliton solution. We obtain a new expression for the contact terms that links these results to the Whitham hierarchy formulation of Seiberg-Witten theories.
dc.description20 pages, 1 figure, LaTeX2e/Kluwer style files included, Invited Talk at the NATO Advanced Research Workshop "Integrable Hierarchies and Modern Physical Theories", Chicago, 22th-26th July 2000
dc.identifierhttps://arxiv.org/abs/hep-th/0010061
dc.identifierhttp://arxiv.org/abs/hep-th/0010061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50294
dc.subjectHigh Energy Physics - Theory
dc.titleIntegrable hierarchies in Donaldson-Witten and Seiberg-Witten theories
dc.typetext

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