Instantons and Emergent Geometry

TL;DR

This paper demonstrates a deep connection between self-dual electromagnetism in noncommutative spacetime and self-dual Einstein gravity, revealing an unexpected equivalence between gauge theory and gravity in this context.

Contribution

It establishes an equivalence between noncommutative self-dual electromagnetism and self-dual Einstein gravity, providing new insights into emergent geometry from gauge theories.

Findings

Self-dual electromagnetism in noncommutative spacetime is equivalent to self-dual Einstein gravity.

The work reveals a novel link between gauge theories and gravitational theories in noncommutative geometry.

This equivalence suggests potential pathways for emergent gravity models.

Abstract

We show that self-dual electromagnetism in noncommutative spacetime is equivalent to self-dual Einstein gravity.