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 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 stress energy tensor and show the equivalence between two different Dp brane configurations in the NC limit.
Highlights
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
One fundamental question that remains to be addressed is the understanding of the dynamics of tachyon kinks [19]-[26] on the world-volume of non BPS Dp branes [27]-[29] embedded in NC geometry
Our analysis reveals that tachyon condensation over string NC geometry differs significantly from that of the earlier analysis in several aspects
Summary
Over the last couple of decades, the non relativistic string theory [1] with world-sheet Galilean invariance has attained renewed attention due to its several remarkable features. In order to have a finite world-volume theory for non BPS Dp branes one needs to consider the effective WZ coupling to be different from that of the usual coupling associated with the DBI action.
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