Haruya Suzuki | Searcharxiv

arXiv2025

Higher-Spin Gauge Models in the BRST-antifield Formalism

We examine the mass shell condition of the bosonic higher spin gauge models which are BRST deformations of the Fronsdal action in the BRST-antifield formalism. Assuming convergence of the infinite series of the deformation parameter, we will find that these models are free on-shell. We further investigate whether this nature persists for models with fermions and models on AdS spaces. We find that these models also turn out to be free on-shell after all. Furthermore, we point out that the cubic vertices of these models are BRST-exact.

hep-th↗

arXiv2021

On Interacting Higher Spin Bosonic Gauge Fields in BRST-antifield Formalism

We examine interacting bosonic higher spin gauge fields in the BRST-antifield formalism. Assuming that an interacting action $S$ is a deformation of the free action with a deformation parameter $g$, we solve the master equation $(S,S)=0$ from the lower orders in $g$. It is shown that choosing a certain cubic interaction as the first order deformation, we can solve the master equation and obtain an action containing all orders in $g$. The anti-ghost number of the obtained action is less than or equal to two. Furthermore we show that the obtained action is lifted to that of interacting bosonic higher spin gauge fields on anti-de Sitter spaces.

hep-th↗