Semiclassical dynamics for torsional Newton-Cartan strings

TL;DR

This paper investigates semiclassical string configurations in torsional Newton-Cartan geometry, calculating quantum corrections to their energy spectrum within a nonrelativistic limit, relevant for dual Spin Matrix Theory at strong coupling.

Contribution

It introduces a novel analysis of folded spinning strings in TNC geometry and computes one-loop corrections in the nonrelativistic limit, linking string theory to Spin Matrix Theory.

Findings

Computed one-loop energy corrections for TNC strings.

Established connections between semiclassical strings and SMT in strong coupling.

Analyzed nonrelativistic limits of string dynamics in TNC backgrounds.

Abstract

We explore \emph{folded} spinning string configurations over torsional Newton Cartan (TNC) geometry with $ R\times S^2 $ topology within the semiclassical approximation. We consider the large $ c $ and/or nonrelativistic (NR) limit associated with the world-sheet d.o.f. and compute the one loop stringy corrections to the energy spectrum in the dual Spin Matrix Theory (SMT) theory in the limit of strong ($ \mathtt{g}\gg 1 $) coupling.