### 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} × S^{4} or AdS_{4} × 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.

Original language | English |
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Pages (from-to) | 257-270 |

Number of pages | 14 |

Journal | Journal of High Energy Physics |

Issue number | 12 |

DOIs | |

Publication status | Published - 2005 Dec 1 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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_{n}× S

^{m}spacetime.

*Journal of High Energy Physics*, (12), 257-270. https://doi.org/10.1088/1126-6708/2005/12/013