Diffeomorphism-invariant noncommutative gravity with twisted local Lorentz invariance

TL;DR

This paper introduces a simplified noncommutative gravity theory that maintains general coordinate invariance and implements twisted local Lorentz symmetry, advancing the theoretical framework of quantum gravity.

Contribution

It presents a novel, simpler formulation of noncommutative gravity with twisted local Lorentz invariance, improving upon previous models.

Findings

The theory is invariant under general coordinate transformations.

Local Lorentz invariance is realized as a twisted gauge symmetry.

The formulation is notably simpler than existing noncommutative gravity models.

Abstract

We propose a new theory of gravitation on noncommutative space-time which is invariant under the general coordinate transformations, while the local Lorentz invariance is realized as twisted gauge symmetry. Our theory is remarkably simpler compared to the existing formulations of noncommutative gravity.