Shift-Symmetric Spin-1 Theories

Understand

We study interacting massive spin-1 theories in de Sitter (dS) and anti-de Sitter (AdS) space that possess shift symmetries parametrized by (A)dS Killing vectors.

• We show how they emerge from the massless limit of massive spin-2 theories on (A)dS space.
• In the case of massive gravity, the corresponding spin-1 theory realizes a symmetry breaking pattern that takes two copies of the (A)dS isometry group down to a diagonal subgroup.
• By taking the flat space limit of this theory, we find a new symmetry of the decoupling limit of massive gravity in flat space.