Poisson-sigma model for 2D gravity with non-metricity

TL;DR

This paper introduces a Poisson-sigma model for 2D dilaton gravity that incorporates non-metricity, torsion, and curvature, expanding the theoretical framework of 2D gravity models with potential applications in string theory.

Contribution

It develops a novel Poisson-sigma model framework for 2D gravity including non-metricity, extending existing models by introducing a third arbitrary function related to non-metricity.

Findings

The model includes three arbitrary functions of the dilaton, two from metric-compatible theories.

Non-metricity can be generated by alpha' corrections in 2D string theory.

The framework unifies various geometric features in 2D gravity models.

Abstract

We present a Poisson-sigma model describing general 2D dilaton gravity with non-metricity, torsion and curvature. It involves three arbitrary functions of the dilaton field, two of which are well-known from metric compatible theories, while the third one characterizes the local strength of non-metricity. As an example we show that alpha' corrections in 2D string theory can generate (target space) non-metricity.