Multi-spin String Solutions in Magnetic-flux Deformed $Ad{S}_n\times S^m$ Spacetime

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 $Ad{S}_5\times S^4$ or $Ad{S}_4\times S^5$ 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 $Ad{S}_5$ radius while rotating simultaneously in two planes in deformed $Ad{S}_5$ 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.

Latex 15 pages, add a little comment in discussion

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• Variations of the Hidden Sector in a Realistic Intersecting Brane Model
• Giant Magnons under NS-NS and Melvin Fields
• On the geometry underlying supersymmetric flux vacua with intermediate SU(2) structure
• Spin Chain with Magnetic Field and Spinning String in Magnetic Field Background