Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations

Abstract

We find and classify the $\mathcal{N}=1$ SUSY multiplets on AdS${}_4$ which contain partially massless fields. We do this by studying the non-unitary representations of the $d=3$ superconformal algebra of the boundary. The simplest super-multiplet which contains a partially massless spin-2 particle also contains a massless photon, a massless spin-$3/2$ particle and a massive spin-$3/2$ particle. The gauge parameters form a Wess-Zumino super-multiplet which contains the gauge parameters of the photon, the partially massless graviton, and the massless spin-$3/2$ particle. We find the AdS${}_4$ action and SUSY transformations for this multiplet. More generally, we classify new types of shortening conditions that can arise for non-unitary representations of the $d=3$ superconformal algebra.

45 pages

References in corpus (36)

• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• On massive spin 2 interactions
• Mixed-symmetry fields in de Sitter space: a group theoretical glance
• No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
• Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
• Free box^k Scalar Conformal Field Theory
• Shift Symmetries in (Anti) de Sitter Space
• Partially Massless Higher-Spin Theory
• Flato-Fronsdal theorem for higher-order singletons
• Recursion relation for general 3d blocks
• de Sitter Supersymmetry Revisited
• Consistent deformations of free massive field theories in the Stueckelberg formulation
• A non-linear extension of the spin-2 partially massless symmetry
• Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
• Massive higher spin fields in the frame-like multispinor formalism
• Uniformizing higher-spin equations
• Lagrangian formulation of the massive higher spin N=1 supermultiplets in $Ad{S}_4$ space
• Manifest Duality for Partially Massless Higher Spins
• Lagrangian description of the partially massless higher spin N=1 supermultiplets in $Ad{S}_4$ space
• On the (A)dS Decoupling Limits of Massive Gravity
• Partially Massless Graviton on Beyond Einstein Spacetimes
• Looking for partially-massless gravity
• Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Dual actions for massless, partially-massless and massive gravitons in (A)dS
• Gauge and global symmetries of the candidate partially massless bimetric gravity
• Non-linear partially massless symmetry in an SO(1,5) continuation of conformal gravity
• On Partially Massless Theory in 3 Dimensions
• Massive Spin-2 Supermultiplets
• Kaluza-Klein Reduction of Massive and Partially Massless Spin-2 Fields
• A theory for multiple partially massless spin-2 fields
• Multimetric Supergravities
• On massive super(bi)gravity in the constructive approach
• Duality invariance of $s\ge 3/2$ fermions in AdS
• Spin-2 twisted duality in (A)dS
• Comments on Short Multiplets in Superconformal Algebras

Cited by in corpus (17)

• A Spin-2 Conjecture on the Swampland
• Lagrangian description of the partially massless higher spin N=1 supermultiplets in $Ad{S}_4$ space
• Constraints on a Gravitational Higgs Mechanism
• Massive higher spin supermultiplets unfolded
• Looking for partially-massless gravity
• Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• A theory for multiple partially massless spin-2 fields
• AdS superprojectors
• Generalised superconformal higher-spin multiplets
• $\mathcal{N}=2$ Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• On the Fradkin-Vasiliev formalism in d=4
• Fermionic Shift Symmetries in (Anti) de Sitter Space
• Cubic interactions for massless and partially massless spin-1 and spin-2 fields
• Partially massless spin 2 and supersymmetry
• Unconventional conformal invariance of maximal depth partially massless fields on $d{S}_4$ and its relation to complex partially massless SUSY
• Partially massless spin 5/2 and supersymmetry
• Partially massless theory as a quantum gravity candidate