Is the Condensation of Strings the Origin of Einstein Gravity ?

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.