Conformal self-dual fields

TL;DR

This paper develops a comprehensive framework for conformal self-dual fields in even-dimensional flat space-time, including gauge-invariant Lagrangians, symmetry realizations, and degrees of freedom counting.

Contribution

It introduces an ordinary-derivative, gauge-invariant formulation of conformal self-dual fields with explicit symmetry realizations and light-cone gauge analysis.

Findings

Gauge invariant Lagrangian with kinetic terms derived

Global conformal symmetries explicitly realized

Light-cone gauge used for counting on-shell degrees of freedom

Abstract

Conformal self-dual fields in flat space-time of even dimension greater than or equal to four are studied. Ordinary-derivative formulation of such fields is developed. Gauge invariant Lagrangian with conventional kinetic terms and corresponding gauge transformations are obtained. Gauge symmetries are realized by involving the Stueckelberg fields. Realization of global conformal symmetries is obtained. Light-cone gauge Lagrangian is found. Also, we demonstrate use of the light-cone gauge for counting of on-shell degrees of freedom of the conformal self-dual fields.