Deparametrization of General Relativity by Space-Time Filling Unstable D9-Brane with Arbitrary Value of Tachyon

TL;DR

This paper explores deparametrizing General Relativity using an unstable D-brane with a space-time filling tachyon, deriving the algebra of constraints and proposing observables that commute with all constraints.

Contribution

It introduces a novel approach to deparametrize General Relativity by incorporating an unstable D-brane with arbitrary tachyon values, and constructs compatible observables.

Findings

Derived the algebra of constraints for the deparametrized theory.

Proposed observables with vanishing Poisson brackets with all first class constraints.

Extended the framework to arbitrary tachyon field values.

Abstract

We calculate algebra of constraints of deparametrized General Relativity with space-time filling unstable D-brane for arbitrary value of tachyon field T. We also propose observables that have vanishing Poisson brackets with all first class constraints.