The Uses of Whitham Hierarchies | Zendy

Marcos Mariño | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The Uses of Whitham Hierarchies

Author(s) -

Marcos Mariño

Publication year - 1999

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.135.29

Subject(s) - instanton , connection (principal bundle) , supersymmetry , interpretation (philosophy) , context (archaeology) , gauge theory , gauge (firearms) , rank (graph theory) , focus (optics) , mathematics , plane (geometry) , theoretical physics , physics , algebra over a field , topology (electrical circuits) , pure mathematics , computer science , mathematical physics , geometry , combinatorics , optics , history , paleontology , archaeology , biology , programming language

We review some of the uses of Whitham hierarchies in the context of thetheory of the prepotential in N=2 supersymmetric gauge theories. We focus onthe structure of the contact terms in the twisted topological theory, and onthe connection between Whitham hierarchies and the u-plane integrals for higherrank gauge groups, trying to put together the different approaches involved inthis connection. We also review two other uses of the Whitham hierarchies: theinterpretation of the slow times as supersymmetry breaking parameters, and thenew techniques to extract instanton corrections using the RG equations writtenin terms of theta functions.Comment: 24 pages, PTP TeX. Talk given at the workshop ``Gauge theory and integrable models" (YITP, Kyoto), January 26-29, 199

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research