Manifestly Lorentz invariant chiral boson action

TL;DR

This paper introduces a Lorentz invariant action for chiral bosons, extending to chiral 2k-form electrodynamics, with potential applications in string theory and higher-dimensional conformal field theories.

Contribution

It presents a novel Lorentz invariant formulation for chiral bosons and extends this approach to conformal chiral 2k-form electrodynamics in higher dimensions.

Findings

Lorentz invariant action for Floreanini-Jackiw chiral boson

Extension to conformal chiral 2k-form electrodynamics

Potential applications in heterotic string theory

Abstract

A manifestly Lorentz invariant action is found for the Floreanini-Jackiw chiral boson. The method involves a novel chiral reduction of the phase-space action for a string, and can be adapted to describe chiral bosons on the heterotic string worldsheet. A similar manifestly Lorentz invariant action is found for an entire class of conformal chiral 2k-form electrodynamics in (4k+2) dimensions which includes the Floreanini-Jackiw theory as the k=0$ case.