Emergent gravity/Non-linear U(1) gauge theory correspondence

TL;DR

This paper explores the connection between emergent gravity and non-linear U(1) gauge theories through T-duality in string theory, revealing insights into open/closed string duality and thermodynamics in black hole backgrounds.

Contribution

It demonstrates how T-duality relates emergent gravity to non-linear U(1) gauge theories and introduces a notion of temperature in emergent gravity models.

Findings

T-duality describes open/closed string duality at self-dual coupling.

Deformation in AdS_5 black hole relates to emergent gravity temperature.

Work connects Kaluza-Klein gravity with emergent gauge theories.

Abstract

Kaluza-Klein gravity is revisted, with renewed interest, in a type IIB string theory on $S^1\times K3$. The irreducible curvature tensors are worked out in the, T-dual, emergent gravity in 4D to yield a non-linear U(1) gauge theory. Interestingly, the T-duality may be seen to describe an open/closed string duality at a self-dual string coupling. The obtained deformation in $AdS_5$ black hole is analyzed to introduce the notion of temperature in the emergent gravity underlying the recent idea of entropic force.