PREPOTENTIALS OF N=2 SUPERSYMMETRIC GAUGE THEORIES AND SOLITON EQUATIONS

1995/10/27 by Tohru Eguchi, Sung-Kil Yang · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1142/s0217732396000151

published as Mod.Phys.Lett. A11 (1996) 131-138 · 10 pages, latex, no figures, a reference added

arxiv created 1995/10/27 · openalex publication_date 1996/01/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using recently proposed soliton equations we derive a basic identity for the scaling violation of N=2 supersymmetric gauge theories Σ i a i ∂F/∂a i −2F=8πib 1 u. Here F is the prepotential, a i ’s are the expectation values of the scalar fields in the vector multiplet, u=1/2 Tr<ϕ 2 > and b 1 is the coefficient of the one-loop β-function. This equation holds in the Coulomb branch of all N=2 supersymmetric gauge theories coupled with massless matter.

Citations

• Some Comments On String Dynamics

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