BPS monopole equation in Ω-background

2011/03/29 by Katsushi Ito, Satoshi Kamoshita, Shin Sasaki · 11 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Charge (physics) #Cosmology and Gravitation Theories #Magnetic monopole #Mathematical physics #Mathematics #Omega #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #hep-th

paper · pdf · doi:10.1007/jhep04(2011)023

published in Journal of High Energy Physics 2011(4) (Springer Nature) · 14 pages, typos corrected, published version in JHEP

arxiv created 2011/03/29 · openalex publication_date 2011/04/01 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study deformed supersymmetries in N=2 super Yang-Mills theory in the Omega-backgrounds characterized by two complex parameters ε₁, ε₂. When one of the ε-parameters vanishes, the theory has extended supersymmetries. We compute the central charge of the algebra and obtain the deformed BPS monopole equation. We examine supersymmetries preserved by the equation.

Citations

• Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• On relation between Nekrasov functions and BS periods in pure SU(N) case
• Small Instantons, Little Strings and Free Fermions
• Central charges in non(anti)commutative N=2 supersymmetric U(N) gauge theory
• Topological quantum field theory
• Seiberg-Witten Theory and Random Partitions

Cited by

• Torsion and supersymmetry in Ω-background

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