The uses of Whitham hierarchies

Details The uses of Whitham hierarchies The uses of Whitham hierarchies

1999-05-07

arxiv.org/abs/hep-th/9905053v1

Prog.Theor.Phys.Suppl.135:29-52,1999

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, PTP TeX. Talk given at the workshop ``Gauge theory and integrable models" (YITP, Kyoto), January 26-29, 1999

Scientific paper

10.1143/PTPS.135.29

We review some of the uses of Whitham hierarchies in the context of the theory of the prepotential in N=2 supersymmetric gauge theories. We focus on the structure of the contact terms in the twisted topological theory, and on the connection between Whitham hierarchies and the u-plane integrals for higher rank gauge groups, trying to put together the different approaches involved in this connection. We also review two other uses of the Whitham hierarchies: the interpretation of the slow times as supersymmetry breaking parameters, and the new techniques to extract instanton corrections using the RG equations written in terms of theta functions.

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