Conformal Invariance of Partially Massless Higher Spins

Abstract

We show that there exist conformally invariant theories for all spins in d=4 de Sitter space, namely the partially massless models with higher derivative gauge invariance under a scalar gauge parameter. This extends the catalog from the two known gauge models -- Maxwell and partially massless spin 2 -- to all spins.

arXiv comment10 pages Latex

References in corpus (7)

• Partial Masslessness of Higher Spins in (A)dS
• Gauge Invariances and Phases of Massive Higher Spins in (A)dS
• Null Propagation of Partially Massless Higher Spins in (A)dS and Cosmological Constant Speculations
• Stability of Massive Cosmological Gravitons
• On Massive High Spin Particles in (A)dS
• Arbitrary Spin Representations in de Sitter from dS/CFT with Applications to dS Supergravity
• Conformal Operators for Partially Massless States

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