Parent Action Approach for the Duality between Non-Abelian Self-Dual and Yang-Mills-Chern-Simons Models

Abstract

It has been argued by some authors that the parent action approach cannot be used in order to establish the duality between the 2+1 Abelian and non-Abelian Self-Dual (SD) and Yang-Mills-Chern-Simons (YMCS) models for all the coupling regimes. We propose here an alternative (perturbative) point of view, and show that this equivalence can be achieved with the parent action approach.

To be published in Phys. Lett. B

References in corpus (3)

• Dual equivalence between Self-Dual and Maxwell-Chern-Simons models coupled to dynamical U(1) charged matter
• Duality Equivalence Between Self-Dual And Topologically Massive Non-Abelian Models
• On the dual equivalence of the Born-Infeld-Chern-Simons model coupled to dynamical U(1) charged matter

Cited by in corpus (14)

• Einstein-Cartan formulation of Chern-Simons Lorentz-violating Gravity
• Dual embedding of the Lorentz-violating electrodinamics and Batalin-Vilkovisky quantization
• Duality in Noncommutative Topologically Massive Gauge Field Theory Revisited
• Noncommutative Maxwell-Chern-Simons theory in three dimensions and its dual
• Duality between Noncommutative Yang-Mills-Chern-Simons and Non-Abelian Self-Dual Models
• Ghost free dual vector theories in 2+1 dimensions
• Bosonization and Duality in Arbitrary Dimensions: New Results
• Non-commutative Duality: High Spin Fields and $C{P}^1$ Model with Hopf Term
• On the coupling of the self-dual field to dynamical U(1) Matter and its dual theory
• Parent Actions, Dualities and New Weyl-invariant Actions of Bosonic p-branes
• A note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields
• Quantum equivalence between the self-dual and the Maxwell-Chern-Simons models nonlinearly coupled to U(1) scalar fields
• Some considerations on duality concerning kappa-Minkowski spacetime theories
• New Born-Infeld and $Dp$-Brane Actions under 2-Metric and 3-Metric Prescriptions