The WDVV equations in pure Seiberg-Witten theory

L.K. Hoevenaars

doi:10.1007/s10440-005-0463-3

The WDVV equations in pure Seiberg-Witten theory

L.K. Hoevenaars

Stochastic Operations Research

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We review the relationship between pure four-dimensional Seiberg–Witten theory and the periodic Toda chain. We discuss the definition of the prepotential and give two proofs that it satisfies the generalized Witten–Dijkgraaf–Verlinde–Verlinde equations. A number of steps in the definitions and proofs that is missing in the literature is supplied.

Original language	Undefined
Article number	10.1007/s10440-005-0463-3
Pages (from-to)	49-102
Number of pages	54
Journal	Acta applicandae mathematicae
Volume	86
Issue number	1-2
DOIs	https://doi.org/10.1007/s10440-005-0463-3
Publication status	Published - Mar 2005

Keywords

WDVV equations
IR-70338
MSC-14H40
EWI-17656
MSC-14D45
METIS-223977
Seiberg–Witten theory
MSC-14H70
MSC-14H20

Access to Document

10.1007/s10440-005-0463-3

http://eprints.eemcs.utwente.nl/secure2/17656/01/2005-18HoevenaarsWDVV_Equations.pdf

Cite this

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abstract = "We review the relationship between pure four-dimensional Seiberg–Witten theory and the periodic Toda chain. We discuss the definition of the prepotential and give two proofs that it satisfies the generalized Witten–Dijkgraaf–Verlinde–Verlinde equations. A number of steps in the definitions and proofs that is missing in the literature is supplied.",

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