S-duality for 2-d gravity

TL;DR

This paper explores S-duality in two-dimensional gravity, demonstrating a strong-weak duality transformation between two related gravitational actions using a partition function approach.

Contribution

It introduces an S-dual formulation of 2-d gravity based on a Katanaev-Volovich type action, revealing a novel duality relationship.

Findings

Established S-duality for 2-d gravity

Derived a dual gravitational action related by strong-weak coupling

Connected duality to a partition function framework

Abstract

We investigate the analogue of S-duality for 2-d gravity. Our analysis is based in a partition function associated to the Katanaev-Volovich type action for 2-d gravity. We find a S-dual 2-d gravitational action which is related to the original 2-d gravitational action by strong-weak duality transformation.