## Abstract

We study properties of (D(p - 2), Dp) nonthreshold bound states (2 ≤ p ≤ 6) in the dual gravity description. These bound states can be viewed as Dp-branes with a nonzero NS B-field of rank two. We find that in the decoupling limit, the thermodynamics of the N_{p} coincident Dp-branes with B-field is the same not only as that of N_{p} coincident Dp-branes without B-field, but also as that of the N_{p-2} coincident D(p - 2)-branes with two smeared coordinates and no B-field, for N_{p-2}/N_{p} = Ṽ_{2}/[(2π)^{2}b̃] with Ṽ_{2} being the area of the two smeared directions and b̃ a noncommutativity parameter. We also obtain the same relation from the thermodynamics and dynamics by probe methods. This suggests that the noncommutative super Yang-Mills with gauge group U(N_{p}) in (p + 1) dimensions is equivalent to an ordinary one with gauge group U(∞) in (p - 1) dimensions in the limit Ṽ_{2} → ∞. We also find that the free energy of a Dp-brane probe with B-field in the background of Dp-branes with B-field coincides with that of a Dp-brane probe in the background of Dp-branes without B-field.

Original language | English |
---|---|

Pages (from-to) | 1-24 |

Number of pages | 24 |

Journal | Journal of High Energy Physics |

Volume | 4 |

Issue number | 3 |

State | Published - 2000 |

## Keywords

- D-branes
- String Duality