Interaction of supersymmetric nonlinear sigma models with external higher spin superfields via higher spin supercurrents

Abstract

We consider a four dimensional generalized Wess-Zumino model formulated in terms of an arbitrary Kähler potential $\mathcal{K}(\Phi ,\bar{\Phi })$ and an arbitrary chiral superpotential $\mathcal{W}(\Phi )$. A general analysis is given to describe the possible interactions of this theory with external higher spin gauge superfields of the ($s+1,s+1/2$) supermultiplet via higher spin supercurrents. It is shown that such interactions do not exist beyond supergravity $(s\ge 2)$ for any $\mathcal{K}$ and $\mathcal{W}$. However, we find three exceptions, the theory of a free massless chiral, the theory of a free massive chiral and the theory of a free chiral with linear superpotential. For the first two, the higher spin supercurrents are known and for the third one we provide the explicit expressions. We also discuss the lower spin supercurrents. As expected, a coupling to (non-minimal) supergravity ($s=1$) can always be found and we give the generating supercurrent and supertrace for arbitrary $\mathcal{K}$ and $\mathcal{W}$. On the other hand, coupling to the vector supermultiplet ($s=0$) is possible only if $\mathcal{K}=\mathcal{K}(\bar{\Phi }\Phi )$ and $\mathcal{W}=0$.

References in corpus (37)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• 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
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• String Lessons for Higher-Spin Interactions
• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory
• Cubic Interactions of Bosonic Higher Spin Gauge Fields in $Ad{S}_5$
• General trilinear interaction for arbitrary even higher spin gauge fields
• On the Tensionless Limit of Bosonic Strings, Infinite Symmetries and Higher Spins
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• Universal Limits on Massless High-Spin Particles
• 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
• Consistent couplings between spin-2 and spin-3 massless fields
• On higher spin interactions with matter
• Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• On four-point interactions in massless higher spin theory in flat space
• 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
• Direct construction of a cubic selfinteraction for higher spin gauge fields
• Higher Spin Conformal Currents in Minkowski Space
• 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
• Off-shell construction of some trilinear higher spin gauge field interactions
• Superfield Noether Procedure
• Non-conformal higher spin supercurrents
• Free massless higher-superspin superfields on the anti-de Sitter superspace
• The massless integer superspin multiplets revisited
• Higher Spin Superfield interactions with Complex linear Supermultiplet: Conserved Supercurrents and Cubic Vertices
• Gravitational Couplings of Higher Spins from String Theory
• Old and New No Go Theorems on Interacting Massless Particles in Flat Space
• From Diophantus to Supergravity and massless higher spin multiplets
• On 4D, N = 1 Massless Gauge Superfields of Higher Superspin: Integer Case
• BRST Analysis of the Supersymmetric Higher Spin Field Models

Cited by in corpus (23)

• Light-cone gauge cubic interaction vertices for massless fields in AdS(4)
• Higher Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
• Higher Spin Dark Matter
• Progress on cubic interactions of arbitrary superspin supermultiplets via gauge invariant supercurrents
• Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions
• Lagrangian formulation of the massive higher spin N=1 supermultiplets in $Ad{S}_4$ space
• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• Integer superspin supercurrents of matter supermultiplets
• $\mathcal{N}=2$ higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure
• Superspace formulation of massive half-integer superspin
• Hierarchy of Supersymmetric Higher Spin Connections
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ superconformal field theory
• Towards A Direct Detection of the Spin of Dark Matter
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Lagrangian formulation of free arbitrary N-extended massless higher spin supermultiplets in 4D, AdS space
• On massive higher spin supermultiplets in d=4
• A supersymmetric spin current
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Novel $\mathcal{N}=2$ higher-spin supercurrents
• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets