Poincare Anomaly in Planar Field Theory

TL;DR

This paper investigates the Poincare anomaly in a specific 2+1-dimensional gauge theory, revealing how the symmetry is affected by the inclusion of a mass term in the Maxwell-Chern-Simons framework.

Contribution

It demonstrates the existence of a Poincare anomaly in Maxwell-Chern-Simons theory with an explicit mass term, a novel insight into symmetry behavior in lower-dimensional gauge theories.

Findings

Poincare anomaly identified in Maxwell-Chern-Simons theory with mass term

Explicit demonstration of symmetry breaking in 2+1 dimensions

Implications for gauge theories with topological mass terms

Abstract

We show the presence of Poincare anomaly in Maxwell-Chern-Simons theory with an explicit mass term, in 2+1-dimensions.