Area-preserving structure of 2d-gravity

TL;DR

This paper derives an effective action for 2d-gravity that maintains area-preserving invariance, demonstrating cocyclic properties and discussing potential extensions to higher dimensions.

Contribution

It introduces an effective action for 2d-gravity with explicit area-preserving invariance and proves its cocyclic properties, extending the framework to higher dimensions.

Findings

Effective action with area-preserving invariance derived

Cocyclic properties of the action proved

Discussions on generalizations to higher dimensions

Abstract

The effective action for 2d-gravity with manifest area-preserving invariance is obtained in the flat and in the general gravitational background. The cocyclic properties of the last action are proved, and generalizations on higher dimensions are discussed.