On the Picard-Fuchs equations of the SW models

1996/09/30 by Mohsen Alishahiha, M. Alishahiha · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/s0370-2693(97)00207-4

published as Phys.Lett. B398 (1997) 100-103 · LaTex file, 6 pages, some references are added

arxiv created 1996/10/02 · openalex publication_date 1997/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We obtain the closed form of the Picard-Fuchs equations for N=2 supersymmetric Yang-Mills theories with classical Lie gauge groups. For a gauge group of rank r, there are r-1 regular and an exceptional differential equations. We describe the series solutions of the Picard-Fuchs equations in the semi-classical regime.

Cited by

• Picard–Fuchs equations and Whitham hierarchy in N=2 supersymmetric SU(r+1) Yang–Mills theory
• One-instanton prepotentials from WDVV equations in N=2 supersymmetric SU(4) Yang–Mills theory