On the Seiberg-Witten Approach to electric-magnetic Duality
Werner Nahm
TL;DR
This paper explores the Seiberg-Witten approach to electric-magnetic duality in N=2 supersymmetric theories, providing a unified method for calculating central charges using modular forms, and highlighting unresolved issues for certain cases.
Contribution
It introduces a uniform framework for deriving Seiberg-Witten results across different flavors and identifies open problems for N_f=1.
Findings
Reproduces Seiberg-Witten results for N_f=0,2,3
Uses derivatives of modular forms to compute central charges
Identifies open problems for N_f=1
Abstract
Electric-magnetic duality allows to calculate the central charges of N=2 supersymmetric theories with massless hypermultiplets as derivatives of simple modular forms. The procedure reproduces the Seiberg-Witten results for N_f=0,2,3 in a uniform way, but indicates open problems for N_f=1.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies