The Neveu-Schwarz Five-Brane and its Dual Geometries

Abstract

In this paper we discuss two aspects of duality transformations on the Neveu-Schwarz (NS) 5-brane solutions in type II and heterotic string theories. First we demonstrate that the non-extremal NS 5-brane background is U-dual to its CGHS limit, a two-dimensional black hole times $S^3\times T^5$; an intermediate step is provided by the near horizon geometry which is given by the three-dimensional $BT{Z}_3$ black hole (being closely related to $Ad{S}_3$) times $S^3\times T^4$. In the second part of the paper we discuss the T-duality between $k$ NS 5-branes and the Taub-NUT spaces respectively ALE spaces, which are related to the resolution of the $A_{k-1}$ singularities of the non-compact orbifold ${\mathbf{C}}^2/{\mathbf{Z}}_k$. In particular in the framework of N=1 supersymmetric gauge theories related to brane box constructions we give the metric dual to two sets of intersecting NS 5-branes. In this way we get a picture of a dual orbifold background ${\mathbf{C}}^3/\Gamma$ which is fibered together out of two N=2 models ($\Gamma ={\mathbf{Z}}_k\times {\mathbf{Z}}_{k^{\prime }}$). Finally we also discuss the intersection of NS 5-branes with D branes, which can serve as probes of the dual background spaces.

18pp, added references

References in corpus (3)

• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• On the realization of chiral four-dimensional gauge theories using branes
• D-Instantons and asymptotic geometries

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