Duality in Gravity and Higher Spin Gauge Fields

TL;DR

This paper explores dual formulations of linearized gravity and higher spin gauge fields, revealing new gauge representations and transformations, with implications for non-linear Einstein gravity and connections to Kaluza-Klein monopoles.

Contribution

It introduces dual field theory realizations for linearized gravity and extends the analysis to higher spin gauge fields, including non-linear cases and specific gauge implementations.

Findings

Dual gauge field representations for linearized gravity.

Extension of duality to higher spin gauge fields.

Local and partial dual transformations in Einstein gravity.

Abstract

Dual field theory realisations are given for linearised gravity in terms of gauge fields in exotic representations of the Lorentz group. The field equations and dual representations are discussed for a wide class of higher spin gauge fields. For non-linear Einstein gravity, such transformations can be implemented locally in light-cone gauge, or partially implemented in the presence of a Killing vector. Sources and the relation to Kaluza-Klein monopoles are discussed.