Connection between Fermionic Strings and Quantum Gravity States -- A loop space approach

TL;DR

This paper explores how Fermionic String models at criticality, represented in loop space, can be viewed as quantum states of gravity within the Ashtekar-Sen formalism, linking string theory and quantum gravity.

Contribution

It introduces a loop space framework connecting Fermionic String models to quantum gravity states, extending previous work on random surface representations.

Findings

Fermionic String models at criticality relate to quantum gravity states

Loop space representations provide a new perspective on quantum gravity

Results support the connection between string models and gravitational quantum states

Abstract

We present physical arguments based on loop space representations for Dirac/Klein gordon determinants that some suitable Fermionic String Ising models at the critical point and defined on the space-time base manifold are formal quantum states of the gravitational field when quantized in the Ashtekar-Sen connection canonical formalism .These results complements our previous Loop Space studies on the subject (Random surface representation for Einstein quantum gravity, Phys.Rev.D52,6941 (1995))