On mass-deformed N = 4 supersymmetric Yang-Mills theory

1996/12/26 by Nicholas Dorey, N. Dorey, Valentin V. Khoze +3 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge theory #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Supersymmetry #Theoretical physics #Yang–Mills theory #hep-th

paper · pdf · doi:10.1016/s0370-2693(97)00102-0

published as Phys.Lett. B396 (1997) 141-149 · 12 pages, uses harvmac.tex, minus-sign fixed

arxiv created 1996/12/26 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct the n-instanton action for the above model with gauge group SU(2), as a function of the collective coordinates of the general self-dual configurations of Atiyah, Drinfeld, Hitchin and Manin (ADHM). We calculate the quantum modulus u = <Tr(A²)> at the 1-instanton level, and find a discrepancy with Seiberg and Witten's proposed exact solution. As in related models (N=2, N_F=3 or 4), this discrepancy may be resolved by modifying their proposed relation between u (the parameter in the elliptic curve) and u.

Citations

• Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• Construction of instantons
• On N = 2 supersymmetric QCD with four flavors
• Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
• PREPOTENTIALS OF N=2 SUPERSYMMETRIC GAUGE THEORIES AND SOLITON EQUATIONS

Cited by

• N = 2 instanton effective action in Ω-background and D3/D(−1)-brane system in R-R background
• Script N = 1 superpotentials from multi-instanton calculus
• On metastable vacua in perturbed N = 2 theories
• Resurgence and the Nekrasov-Shatashvili limit: connecting weak and strong coupling in the Mathieu and Lamé systems