Remarks on self-dual formulation of Born-Infeld-Chern-Simons theory

TL;DR

This paper explores the self-dual formulation of Born-Infeld-Chern-Simons theory, revealing its connection to D2 branes and Maxwell-Chern-Simons theory, and derives the canonical brackets of the dual system.

Contribution

It introduces a gauge-invariant master Lagrangian for Born-Infeld-Chern-Simons theory, including a nonlocal auxiliary field, and links it to known self-dual models.

Findings

Derived the self-dual formulation using a master Lagrangian.

Connected the theory to D2 branes in string theory.

Established the canonical brackets of the dual system.

Abstract

We study the self-duality of Born-Infeld-Chern-Simons theory which can be interpreted as a massive D2 brane in IIA string theory and exhibit the self-dual formulation in terms of the gauge invariant master Lagrangian. The proposed master Lagrangian contains the nonlocal auxiliary field and approaches self-dual formulation of Maxwell-Chern-Simons theory in a point-particle limit with the weak string-coupling limit. The consistent canonical brackets of dual system are derived.