Lagrangian formulation for arbitrary spin. I. The boson case

Section: Jhep03(2014)030mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A dynamical theory for linearized massive superspin 3/2

Gates

Koutrolikos

2014

“…The simplest way to construct a free theory of higher spin field is provided by the Fronsdal equation, [2,3,[54][55][56]:…”

Section: Jhep01(2018)080mentioning

confidence: 99%

One-loop effective actions and higher spins. Part II

Bonora¹,

Cvitan²,

Prester³

et al. 2018

In this paper we continue and improve the analysis of the effective actions obtained by integrating out a scalar and a fermion field coupled to external symmetric sources, started in the previous paper. The first subject we study is the geometrization of the results obtained there, that is we express them in terms of covariant Jacobi tensors. The second subject concerns the treatment of tadpoles and seagull terms in order to implement off-shell covariance in the initial model. The last and by far largest part of the paper is a repository of results concerning all two point correlators (including mixed ones) of symmetric currents of any spin up to 5 and in any dimensions between 3 and 6. In the massless case we also provide formulas for any spin in any dimension.

“…The off-shell description of these free, massless, higher spins is very well known [6][7][8][9]. Very briefly, in order to describe these higher spins irreps:…”

Section: Jhep11(2017)063mentioning

confidence: 99%

From Diophantus to supergravity and massless higher spin multiplets

Gates

Koutrolikos

2017

We present a new method of deriving the off-shell spectrum of supergravity and massless 4D, N = 1 higher spin multiplets without the need of an action and based on a set of natural requirements: (a.) existence of an underlying superspace description, (b.) an economical description of free, massless, higher spins and (c.) equal numbers of bosonic and fermionic degrees of freedom. We prove that for any theory that respects the above, the fermionic auxiliary components come in pairs and are gauge invariant and there are two types of bosonic auxiliary components. Type (1) are pairs of a (2, 0)-tensor with real or imaginary (1, 1)-tensor with non-trivial gauge transformations. Type (2) are singlets and gauge invariant. The outcome is a set of Diophantine equations, the solutions of which determine the off-shell spectrum of supergravity and massless higher spin multiplets. This approach provides (i ) a classification of the irreducible, supersymmetric, representations of arbitrary spin and (ii ) a very clean and intuitive explanation to why some of these theories have more than one formulations (e.g. the supergravity multiplet) and others do not.