Higher-Spin Gauge Interactions for Matter Fields in Two Dimensions

TL;DR

This paper introduces an integrable two-dimensional higher-spin gauge interaction model for matter fields, extending d2 gravity without requiring vanishing higher-spin currents.

Contribution

It presents a novel higher-spin generalization of 2D gravity that is integrable and does not impose vanishing higher-spin current conditions.

Findings

Model is integrable

Generalizes d2 gravity to higher spins

No need for vanishing higher-spin currents

Abstract

We formulate a new model which describes higher-spin gauge interactions for matter fields in two dimensions. This model is a higher-spin generalization of d2 gravity and turns out to be integrable. No vanishing higher-spin current conditions are imposed on the matter fields.