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 × S4 or AdS4 × 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 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 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.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics