Brown-Kuchar Mechanism for Unstable D-Brane at Large Tachyon Regime

TL;DR

This paper analyzes the Hamiltonian structure of unstable D-branes coupled to gravity, applying the Brown-Kuchar formalism to understand their constraint algebra and gauge invariance at large tachyon values.

Contribution

It introduces a Hamiltonian formulation for unstable D-branes with gravity and applies the Brown-Kuchar formalism to analyze their constraint algebra at large tachyon regimes.

Findings

Poisson brackets between constraints vanish at large T

Deparametrization leads to gauge-invariant functions

Constraint algebra simplifies in the large tachyon limit

Abstract

We study space-time filling unstable D-brane coupled to gravity. We find Hamiltonian for this D-brane and then we implement Brown-Kuchar formalism for this system. We calculate algebra of constraints of deparametrized theory and we show that for large $T$ the Poisson brackets between new constraints are zero. Then we define gauge invariant functions on phase space following deparametrization construction introduced in [9].