Higher-Spin Quartic Vertices in AdS5 : a Rectangular Limit

TL;DR

This paper derives a broad class of gauge-invariant quartic vertices for symmetric higher-spin fields in AdS5 space using superstring theory, revealing their structure in a specific rectangular limit where they are unaffected by RG flow corrections.

Contribution

It introduces a novel approach to constructing higher-spin quartic vertices in AdS5 via superstring vertex operators in a rectangular limit, simplifying their analysis.

Findings

Quartic vertices are gauge-invariant and fixed by 4-point superstring amplitudes.

In the rectangular limit, vertices do not receive RG flow corrections from cubic interactions.

The construction leverages higher-spin symmetry algebra generators.

Abstract

We determine the form of a significantly large class of gauge-invariant quartic vertices for symmetric higher-spin fields (in Vasiliev formalism) in AdS5 space in the rectangular limit, (defined in the paper) using the higher-spin vertex operators in superstring theory, which construction is based on the generators of the higher-spin symmetry algebra, enveloping the AdS isometries. In this limit, a particular simplification is that the quartic vertices do not receive corrections from worldsheet renormalization group flows of the cubic terms, so their structure is fixed directly by the 4-point amplitudes in superstring theory.