Chiral $QED_2$ with Faddeevian anomaly in the context of the augmented superfield approach

Abstract

We consider the bosonized version of the Chiral Schwinger model in $(1+1)$ dimension with the generalized Faddeevian anomaly, which does not have the Lorentz covariance structure and does not have gauge invariance either. BRST embedding is made possible after making it gauge invariant by the incorporation of Wess-Zumino field. For this $(1+1)$ dimensional anomalous model, we use the Bonora-Tonin superfield formalism to construct the nilpotent and absolutely anti-commuting anti-BRST as well as anti-co-BRST symmetry transformations. We use the gauge-invariant constraints on the superfields defined onto the (2, 2)-Dimensional supermanifold along with the dual horizontality criteria. We provide the conserved charges linked to the aforementioned nilpotent symmetries as well as their geometric interpretation. The anti-BRST and anti-co-BRST charges' nilpotency and total anticommutativity. It has also been confirmed that, in the context of the augmented superfield formalism, the anti-BRST and anti-co-BRST charges are nilpotent and absolutely anti-commutative. One notable aspect of the current study is the application of the dual-horizontality requirement to obtain appropriate anti-co-BRST symmetry