Unstable D-brane in Torsional Newton-Cartan Background

TL;DR

This paper constructs an unstable D-brane action in a torsional Newton-Cartan background using T-duality, analyzes its equations of motion, and explores tachyon vacuum solutions interpreted as non-relativistic string gases.

Contribution

It introduces a novel unstable D-brane action in a torsional Newton-Cartan background and analyzes its dynamics and solutions.

Findings

Derived equations of motion for the unstable D-brane.

Found solutions corresponding to non-relativistic D-branes.

Identified tachyon vacuum solutions as non-relativistic string gases.

Abstract

This paper is devoted to the construction of unstable D-brane action in torsional Newton-Cartan background through T-duality along null direction. We determine corresponding equations of motion and analyze their solution that corresponds to lower dimensional non-relativistic D(p-1)-brane. We also find Hamiltonian for unstable Dp-brane and study tachyon vacuum solutions that can be interpreted as gas of non-relativistic strings.