Is the Condensation of Strings the Origin of Einstein Gravity ?

TL;DR

This paper proposes a novel mechanism where string condensation in a topological BF theory leads to the emergence of the metric, potentially explaining the origin of Einstein gravity.

Contribution

It introduces a new approach where string field condensation breaks Kalb-Ramond symmetry, generating the metric and providing a link between topological field theory and gravity.

Findings

String condensation can break Kalb-Ramond symmetry.

The mechanism connects topological BF theory to Einstein gravity.

Insights into confinement and polymer physics are applied.

Abstract

A mechanism of generating the metric is proposed, where the Kalb-Ramond symmetry existing in the topological BF theory is broken through the condensation of the string fields which are so introduced as to couple with the anti-symmetric tensor fields $B$, invariantly under the Kalb-Ramond symmetry. In the chiral decomposition of the local Lorentz group, the non-Abelian $B$ fields need to be generalized to the string fields. The mechanism of the condensation is discussed, viewing the confinement problem and the polymer physics.