On the Interacting Chiral Gauge Field Theory in D=6 and the Off-Shell Equivalence of Dual Born-Infeld-Like Actions

TL;DR

This paper constructs a canonical action for interacting chiral gauge fields in six dimensions, demonstrating off-shell equivalence with a D=5 Born-Infeld action and discussing implications for dual D-brane actions.

Contribution

It introduces a canonical action for D=6 chiral gauge fields and proves its off-shell equivalence to a D=5 Born-Infeld action, extending duality arguments.

Findings

Established off-shell equivalence between D=6 chiral gauge action and D=5 Born-Infeld action.

Extended dual D-brane action equivalence from on-shell to off-shell.

Provided a gauge-fixed form reducing to known actions.

Abstract

A canonical action describing the interaction of chiral gauge fields in D=6 Minkowski space-time is constructed. In a particular partial gauge fixing it reduces to the action found by Perry and Schwarz. The additional gauge symmetries are used to show the off-shell equivalence of the dimensional reduction to D=5 Minkowski space-time of the chiral gauge field canonical action and the Born-Infeld canonical action describing an interacting D=5 Abelian vector field. Its extension to improve the on-shell equivalence arguments of dual D-brane actions to off-shell ones is discussed.