Dual equivalence between the Maxwell-Chern-Simons theory and two self-dual massive models interacting with matter in $\mathcal{N}=2$, $d=3$ superspace

Abstract

We investigate the $\mathcal{N}=2$ supersymmetric generalization of the dual equivalence between the Maxwell-Chern-Simons model and two massive self-dual models. One of the self-dual models is described by a real scalar superfield, while the other is described by a chiral spinor superfield. The equivalence is analyzed in the presence of dynamical matter chiral superfields. Initially, we establish the duality by demonstrating the existence of master actions that interpolate between the models. We then show that the field equations are identical when the proper identifications are made. Finally, we confirm the dual equivalence by defining a master generating functional, which, after changing the variables, provides the generating functionals of the Maxwell-Chern-Simons model and the two massive self-dual models coupled to matter.

13 pages, accepted to PLB

References in corpus (13)

• Gauge Theory Correlators from Non-Critical String Theory
• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Comments on Higher Derivative Operators in Some SUSY Field Theories
• The AdS/CFT Correspondence
• On the D = 4, N = 2 Non-Renormalization Theorem
• Dual equivalence between Self-Dual and Maxwell-Chern-Simons models coupled to dynamical U(1) charged matter
• On the equivalence of the self-dual and Maxwell-Chern-Simons models coupled to Fermions
• Dual equivalence in models with higher-order derivatives
• Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories
• Equivalence between supersymmetric self-dual and Maxwell-Chern-Simons models coupled to a matter spinor superfield
• Duality in nonlinear B$\wedge$F models: equivalence between self-dual and topologically massive Born-Infeld B$\wedge$F models
• On the duality in CPT-even Lorentz-breaking theories

Cited by in corpus (1)

• Higher-derivative $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetric Maxwell-Chern-Simons theories at one loop in superspace