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The WDVV Equations in Pure Seiberg–Witten Theory

The WDVV Equations in Pure Seiberg–Witten Theory 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

The WDVV Equations in Pure Seiberg–Witten Theory

Acta Applicandae Mathematicae , Volume 86 (2) – Jan 12, 2005

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References (64)

Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-005-0463-3
Publisher site
See Article on Publisher Site

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.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jan 12, 2005

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