Cubic interactions for arbitrary spin $$ \mathcal{N} $$ -extended massless supermultiplets in 4d flat space

In this paper we construct a number of cubic interaction vertices for massless bosonic and fermionic higher spin fields in flat four dimensional space. First of all, we construct these cubic vertices in AdS 4 space using a so-called Fradkin-Vasiliev approach, which works only for the non-zero cosmological constant. Then we consider a flat limit taking care on all the higher derivative terms which FV-approach generates. We restrict ourselves with the four dimensions because this allows us to use the frame-like multispinor formalism which greatly simplifies all calculations and provides a description for bosons and fermions on equal footing.

Section: Resultsmentioning

confidence: 99%

Massless higher spin cubic vertices in flat four dimensional space

Khabarov

Zinoviev

2020

“…In addition, it would be nice to construct a supersymmetric massive higher spin gauge theory in constrained formulation, such that by taking the continuous spin limit (m → 0 , s → ∞ while ms = µ = constant) converts to the result of this paper. It is also interesting to develop cubic interaction vertices for the N = 1 arbitrary spin massless supermultiplets [67], [68] to the continuous spin gauge theory.…”

Section: Discussionmentioning

confidence: 99%

Supersymmetric continuous spin gauge theory

Najafizadeh

2020

Taking into account the Schuster-Toro action and its fermionic analogue discovered by us, we supersymmetrize unconstrained formulation of the continuous spin gauge field theory. Afterwards, building on the Metsaev actions, we supersymmetrize constrained formulation of the theory. In each formulation, we provide supersymmetry transformations for the N = 1 supermultiplet in fourdimensional flat space-time, in which continuous spin particle (CSP) is considered to be a complex scalar continuous spin field, and its superpartner which can be called " CSPino " is considered to be a Dirac continuous spin field. It is shown that the algebra of these supersymmetry transformations are closed on-shell. Furthermore, we investigate whether obtained supersymmetry transformations reproduce the known result of the higher spin gauge field theory in the helicity limit. Finally, we illustrate how these two separate set of obtained transformations are related to each other.

“…The classification of all non-supersymmetric cubic vertices of massive and massless integer and half-integer higher spin fields was obtained by Metsaev in [1][2][3] for d ≥ 4 using light-cone formalism and in [4,5] for d = 3. More recently a general classification of supersymmetric higher spin multiplets was also found in [6,7].…”

Section: Introductionmentioning

confidence: 87%

Superspace first order formalism, trivial symmetries and electromagnetic interactions of linearized supergravity

Buchbinder

Gates

Koutrolikos

2021

We introduce a first order description of linearized non-minimal (n = −1) supergravity in superspace, using the unconstrained prepotential superfield instead of the conventionally constrained super one forms. In this description, after integrating out the connection-like auxiliary superfield of first-order formalism, the superspace action is expressed in terms of a single superfield which combines the prepotential and compensator superfields. We use this description to construct the supersymmetric cubic interaction vertex 3/2 − 3/2 − 1/2 which describes the electromagnetic interaction between two non-minimal supergravity multiplets (superspin Y = 3/2 which contains a spin 2 and a spin 3/2 particles) and a vector multiplet (superspin Y = 1/2 contains a spin 1 and a spin 1/2 particles). Exploring the trivial symmetries emerging between the two Y = 3/2 supermultiplets, we show that this cubic vertex must depend on the vector multiplet superfield strength. This result generalize previous results for non-supersymmetric electromagnetic interactions of spin 2 particles. The constructed cubic interaction generates non-trivial deformations of the gauge transformations.