# Probing tachyon kinks in Newton-Cartan background

## TL;DR

This paper investigates tachyon condensation on non-BPS D-branes within Newton-Cartan geometry, deriving effective actions and demonstrating how tachyon kinks can produce BPS D-branes in this non-relativistic background.

## Contribution

It constructs the finite tachyon effective action in Newton-Cartan geometry and analyzes the resulting BPS D-brane dynamics from tachyon kinks.

## Key findings

- Tachyon condensation leads to BPS D(p-1) branes in NC background.
- Derived the stress-energy tensor for tachyon configurations.
- Showed equivalence between different Dp brane configurations in NC limit.

## Abstract

In this paper, we perform a systematic analysis of tachyon condensation over string Newton-Cartan (NC) geometry by probing the background with non BPS $ Dp $ brane. We construct the \textit{finite} tachyon effective action for NC geometry and explore the dynamics associated with the tachyon kink on the world-volume of the non BPS $ Dp $ brane. We show that under certain specific assumptions, the spatial dependent tachyon condensation leads to an emerging BPS $ D(p-1) $ brane dynamics over NC background. We further compute the strees energy tensor and show the equivalence between two different $ Dp $ brane configurations in the NC limit.