Multi-spin String Solutions in Magnetic-flux Deformed AdSn × S Spacetime

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 AdS5×S or AdS4×S 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 AdS5 radius while rotating simultaneously in two planes in deformed AdS5 with equal spins S. The second solution describes a string rotating in deformed S 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 the string solutions. E-mail: [email protected]