Multi-spin String Solutions in Magnetic-flux Deformed $AdS_n \times S^m$ Spacetime

TL;DR

This paper constructs and analyzes classical multi-spin string solutions in magnetic-flux deformed $AdS_n imes S^m$ spacetimes, revealing how fluxes influence string stability and dynamics.

Contribution

It introduces new multi-spin string solutions in magnetic-flux deformed backgrounds and studies their stability, extending previous models to include flux effects.

Findings

Two classical string solutions with multiple angular momenta are obtained.

Magnetic fluxes can enhance the stability of these string solutions.

Deformed backgrounds modify the string dynamics and stability properties.

Abstract

We perform the dimensional reduction of the spacetime of a stack of N D3-branes by the ``twist'' identification of a circle to obtain a new Melvin background. In the near-horizon limit the background becomes the magnetic-flux deformed $AdS_5 \times S^4$ or $AdS_4 \times S^5$ spacetime. After analyzing the classical closed string solutions with several angular momenta in different directions of the deformed spacetimes we obtain two string solutions. The first solution describes a circular closed string located at a fixed value of deformed $AdS_5$ radius while rotating simultaneously in two planes in deformed $AdS_5$ with equal spins $S$. The second solution describes a string rotating in deformed $S^5$ with two equal angular momenta $J$ in the two rotation planes. We investigate the small fluctuations therein and show that the magnetic fluxes have inclination to improve the stability of these classical string solutions.