2D Poisson Sigma Models with Gauged Vectorial Supersymmetry

TL;DR

This paper extends the 2D Poisson sigma model by gauging its vectorial supersymmetry, maintaining the original geometric constraints, and suggests its potential as a framework for higher spin gravity quantization.

Contribution

It introduces a gauged version of the 2D Poisson sigma model that preserves geometric constraints and proposes its application in higher spin gravity.

Findings

Gauging does not add extra geometric constraints.

The gauged model remains consistent with the original geometry.

Potential application in first-quantized higher spin gravity.

Abstract

In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential Poisson algebra geometry than those required for the ungauged model. We conclude by proposing that the gauged model provides a first-quantized framework for higher spin gravity.