Exotic tensor gauge theory and duality

TL;DR

This paper develops a formalism for exotic tensor gauge fields in higher dimensions, exploring their gauge symmetries, dualities, and applications to linearized gravity, extending the understanding of gauge theories beyond conventional forms.

Contribution

It generalizes differential form formalism to arbitrary tensor gauge fields and constructs their dual theories, including dual forms of linearized gravity in arbitrary dimensions.

Findings

Established gauge symmetries and field equations for exotic tensor gauge fields.

Constructed dual theories for these gauge fields, including dual forms of gravity.

Provided a framework for analyzing higher-dimensional gauge theories with mixed symmetry tensors.

Abstract

Gauge fields in exotic representations of the Lorentz group in D dimensions - i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows and columns - naturally arise through massive string modes and in dualising gravity and other theories in higher dimensions. We generalise the formalism of differential forms to allow the discussion of arbitrary gauge fields. We present the gauge symmetries, field strengths, field equations and actions for the free theory, and construct the various dual theories. In particular, we discuss linearised gravity in arbitrary dimensions, and its two dual forms.