BPS Analysis of Gauge Field-Higgs Models in Non-Anticommutative Superspace

Abstract

We extend the study of BPS equations in $\mathcal{N}=1/2$ super Yang-Mills theory to the case of models with gauge symmetry breaking. We first consider an Abelian gauge-Higgs supersymmetric Lagrangian in $d=4$ dimensional Euclidean space obtained by deforming $\mathcal{N}=1$ superspace. The supermultiplets include chiral and vector superfields and its bosonic content coincides with that of the Abelian Higgs model where vortex solutions to the BPS equation are known to exist in the undeformed case. We also consider the $d=3$ dimensional reduction of a non-Abelian $d=4$ deformed model and study its deformed BPS equations, showing the existence of new monopole solutions which depend on the deformation parameter.

arXiv comment11 pages

References in corpus (7)

• Non-commutative superspace from string theory
• Non(anti)commutative Superspace
• Supersymmetry and Bogomol'nyi equations in the Abelian Higgs Model
• Supersymmetric Gauge Theories on Noncommutative Superspace
• U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Supersymmetric CP^N Sigma Model on Noncommutative Superspace

Cited by in corpus (7)

• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• Non(anti)commutative superspace with coordinate-dependent deformation
• Instantons and Matter in N=1/2 Supersymmetric Gauge Theory
• Quantum Mechanics in Non(Anti)Commutative Superspace
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory