A Note on the Picard-Fuchs Equations for N=2 Seiberg-Witten Theories
arXiv:hep-th/9703176 · doi:10.1142/S0217751X9800010X
Abstract
A concise presentation of the PF equations for N=2 Seiberg-Witten theories for the classical groups of rank r with N_f massless hypermultiplets in the fundamental representation is provided. For N_f=0, all r PF equations can be given in a generic form. For certain cases with N_f\neq zero, not all equations are generic. However, in all cases there are at least r-2 generic PF equations. For these cases the classical part of the equations is generic, while the quantum part can be formulated using a method described in a previous paper by the authors, which is well suited to symbolic computer calculations.
25 pages, Latex; some new references added
Cited by in corpus (14)
- The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
- The WDVV Equations in N=2 Supersymmetric Yang-Mills Theory
- One-Instanton Test of a Seiberg-Witten Curve from M-theory: the Antisymmetric Representation of SU(N)
- Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation
- On the WDVV Equation and M-Theory
- The Picard-Fuchs equation in classical and quantum physics: Application to higher-order WKB method
- Picard-Fuchs Equations and Whitham Hierarchy in N=2 Supersymmetric SU(r+1) Yang-Mills Theory
- Argyres-Douglas Loci, Singularity Structures and Wall-Crossings in Pure N=2 Gauge Theories with Classical Gauge Groups
- Picard-Fuchs Ordinary Differential Systems in N=2 Supersymmetric Yang-Mills Theories
- Instanton Correction of Prepotential in Ruijsenaars Model Associated with N=2 SU(2) Seiberg-Witten Theory
- RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM
- Seiberg-Witten Theory of Rank Two Gauge Groups and Hypergeometric Series
- Glueball Superfield and Argyres Douglas Points
- Direct Derivation of Scaling Relation of Prepotential in N=2 Supersymmetric G_2 Yang-Mills Theory