Abstract
Using the superfield formalism and the master action approach, we prove, both at the classical and quantum levels, the dual equivalence between four-dimensional supersymmetric self-dual and topologically massive models coupled to dynamical matter.
Highlights
The concept of symmetry is a powerful tool for interpreting physical phenomena
Using the superfield formalism and the master action approach, we prove, at both the classical and quantum levels, the dual equivalence between four-dimensional supersymmetric self-dual and topologically massive models coupled to dynamical matter
It is important to point out that equivalence at the classical level does not necessarily imply equivalence at the quantum level, because in the quantum theory the generating functional is defined by integrating over all possible field configurations, the ones which satisfy the equations of motion
Summary
The concept of symmetry is a powerful tool for interpreting physical phenomena. A fundamental class of symmetries is presented by the duality symmetries. The first discovered case relates the self-dual (SD) [17] and Maxwell-Chern-Simons (MCS) [18] models These two theories describe a single massive particle of spin 1 in 2 þ 1 flat spacetime. The main objective of the present work is to obtain a supersymmetric generalization of the duality between SDBF and MKR theories, at both classical and quantum levels, employing their superfield description. [41], where the supersymmetric theory of an antisymmetric tensor field, described within the superfield approach by a chiral spinor superfield, has been studied in the one-loop approximation
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