Hierarchy of Supersymmetric Higher Spin Connections

Abstract

We focus on the geometrical reformulation of free higher spin supermultiplets in $4\mathrm{D},\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The requirement for sensible free equations of motion imposes constraints on the gauge parameter superfields. Unlike the nonsupersymmetric case, we find several different constraints that can decouple the higher superconnections. By lifting these constraints nongeometrically via compensators we recover all known descriptions of arbitrary integer and half-integer gauge supermultiplets. In the constrained formulation we find a new description of half-integer supermultiplets, generalizing the new-minimal and virial formulations of linearized supergravity to higher spins. However this description can be formulated using compensators. The various descriptions can be labeled as geometrical or nongeometrical if the equations of motion can be expressed purely in terms of superconnections or not.

References in corpus (67)

• Massless Higher Spins and Holography
• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Stringy gravity, interacting tensionless strings and massless higher spins
• Cubic interaction vertices for massive and massless higher spin fields
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• On higher spins and the tensionless limit of String Theory
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Free geometric equations for higher spins
• Classical and Quantized Tensionless Strings
• On the geometry of higher-spin gauge fields
• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• Cubic Interactions of Bosonic Higher Spin Gauge Fields in $Ad{S}_5$
• On geometric equations and duality for free higher spins
• On the Tensionless Limit of Bosonic Strings, Infinite Symmetries and Higher Spins
• Current Exchanges and Unconstrained Higher Spins
• Frame-like gauge invariant formulation for massive high spin particles
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• N=1 Supersymmetric Theory of Higher Spin Gauge Fields in AdS(5) at the Cubic Level
• Minimal Local Lagrangians for Higher-Spin Geometry
• On higher spin interactions with matter
• Brane Partons and Singleton Strings
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• New 4D, N = 1 Superfield Theory: Model of Free Massive Superspin-3/2 Multiplet
• Spin 3 cubic vertices in a frame-like formalism
• Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
• Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• Off-shell massive N=1 supermultiplets in three dimensions
• Interactions of Massless Higher Spin Fields From String Theory
• Off-shell superconformal higher spin multiplets in four dimensions
• On the Non-Local Obstruction to Interacting Higher Spins in Flat Space
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• From Higher Spins to Strings: A Primer
• Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
• N = 2 Supersymmetry of Higher Superspin Massless Theories
• Gravitational Interactions of Higher-Spin Fermions
• Cubic interaction vertex of higher-spin fields with external electromagnetic field
• On Killing tensors and cubic vertices in higher-spin gauge theories
• The Off-shell (3/2, 2) Supermultiplets Revisited
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Progress on cubic interactions of arbitrary superspin supermultiplets via gauge invariant supercurrents
• Solving the Noether procedure for cubic interactions of higher spins in (A)dS
• Lagrangian formulation for the infinite spin N=1 supermultiplets in d=4
• Non-conformal higher spin supercurrents
• Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions
• Higher spin supercurrents in anti-de Sitter space
• Gravitational cubic interactions for a massive mixed symmetry gauge field
• Lagrangian formulation of the massive higher spin N=1 supermultiplets in $Ad{S}_4$ space
• Lagrangian description of the partially massless higher spin N=1 supermultiplets in $Ad{S}_4$ space
• The massless integer superspin multiplets revisited
• Interaction of supersymmetric nonlinear sigma models with external higher spin superfields via higher spin supercurrents
• Superfield continuous spin equations of motion
• Off-shell higher spin N=2 supermultiplets in three dimensions
• Higher Spin Superfield interactions with Complex linear Supermultiplet: Conserved Supercurrents and Cubic Vertices
• Integer superspin supercurrents of matter supermultiplets
• The Generalized Curvature and Christoffel Symbols for a Higher Spin Potential in AdS_{d+1} Space
• $\mathcal{N}=2$ supersymmetric higher spin gauge theories and current multiplets in three dimensions
• From Diophantus to Supergravity and massless higher spin multiplets
• Geometry and dynamics of higher-spin frame fields
• Cubic-interaction-induced deformations of higher-spin symmetries
• On 4D, N = 1 Massless Gauge Superfields of Higher Superspin: Half-Odd-Integer Case
• On 4D, N = 1 Massless Gauge Superfields of Higher Superspin: Integer Case
• Imaginary supergravity or Virial supergravity?

Cited by in corpus (7)

• Higher Spin Dark Matter
• Unconstrained off-shell superfield formulation of $4D,\mathcal{N}=2$ supersymmetric higher spins
• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• Superspace formulation of massive half-integer superspin
• $\mathcal{N}=2$ superconformal higher-spin multiplets and their hypermultiplet couplings
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets