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

Wung-Hong Huang
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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.

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Wung-Hong Huang. 2005-12-05. Multi-spin String Solutions in Magnetic-flux Deformed $AdS_n \times S^m$ Spacetime. https://doi.org/10.1088/1126-6708%2F2005%2F12%2F013

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