Rotating Solutions of Non-relativistic String Theory

TL;DR

This work formulates non-relativistic string theory in curved transverse backgrounds using a Polyakov-like action and derives a BPS bound for the NR string in the static gauge, with conformality requiring Ricci-flat transverse geometry. It constructs classical rotating solutions in both flat space and a singular conifold, revealing an energy–angular momentum relation $E\sim J^2$ and identifying configurations that saturate the bound. Some solutions are ${\frac{1}{4}}$-BPS when embedded in the NR superstring, including wave-like states traveling at the speed of light along the string. The results highlight a rich non-relativistic sector with supersymmetric subsectors and potential implications for AdS/CFT-like contexts. Overall, the paper elucidates the interplay between NR string dynamics, BPS bounds, and supersymmetry in curved transverse spaces.

Abstract

We construct classical rotating solutions of Non-relativistic String Theory. The relation among the energy and angular momenta for these solutions is of the type E=J^2. Some of the solutions saturate a BPS bound for the energy, they are 1/4 BPS supersymmetric configurations.

Figures (3)

• Figure 1: String described by solution (\ref{['soluzione1']}) when $\omega=1$
• Figure 2: String described by solution (\ref{['semhoppe']}) when $\omega=1$
• Figure 3: String described by solution (\ref{['san']}) when $\omega=1$