Interacting Higher-Spin Gauge Models in BRST-antifield Formalism

Abstract

Interacting higher-spin gauge models including fermions are derived in the BRST-antifield formalism. We introduce massless totally-symmetric rank-n tensor-spinors, which is Dirac spinors in D-dimensional spacetime, as well as massless bosonic totally-symmetric tensors. By applying the BRST deformation scheme, the free higher-spin gauge theory is deformed such that the deformed action S would satisfy the master equation (S, S) = 0. We obtain interactions of two fermions and one boson, and those of a fermion and a boson in turn. They contain all orders in the deformation parameter and satisfy the master equation exactly. Employing the BRST deformation scheme built on AdS spaces, we derive interacting higher-spin gauge models including fermions on AdS spaces as well. We also consider the case that infinite series contained in our models are convergent.

Supersymmetric Cubic Interactions For Lower Spins From "Higher Spin" Approach

“…Covariant cubic vertices with two fermions and electromagnetic and gravitational fields are given in[32]-[33]. Supersymmetric cubic interactions on flat and AdS backgrounds are given in[34]-[41] 4. The cubic vertices for D = 4, N = 4 super Yang-Mills in the light cone formulation are given in[48]-[50].…”