Shift Symmetries for p-Forms and Mixed Symmetry Fields on (A)dS

TL;DR

This paper identifies extended shift symmetries for all bosonic p-forms and mixed symmetry fields on (A)dS spaces, revealing new symmetries at specific masses and their relation to partially massless fields.

Contribution

It systematically derives shift symmetries for a broad class of fields on (A)dS, including mixed symmetry fields, expanding understanding of their symmetry structures.

Findings

Shift symmetries occur at specific mass values for all bosonic p-forms.

Extended shift symmetries are found for mixed symmetry fields in arbitrary dimensions.

These symmetries relate to the longitudinal modes of partially massless fields.

Abstract

Massive fields on (anti) de Sitter space realize extended shift symmetries at particular values of their masses. We find these symmetries for all bosonic p-forms and mixed symmetry fields, in arbitrary spacetime dimension. These shift symmetric fields correspond to the missing longitudinal modes of mixed symmetry partially massless fields where the top row of the Young tableau is activated.