On the Quantization Constraints for a D3 Brane in the Geometry of NS5 Branes

Details On the Quantization Constraints for a D3 Brane in the Geometry of NS5 Branes On the Quantization Constraints for a D3 Brane in the Geometry of NS5 Branes

2000-07-12

arxiv.org/abs/hep-th/0007100v1

JHEP 0008 (2000) 030

Physics

High Energy Physics

High Energy Physics - Theory

25 pages (plain LaTeX) and 4 figures (encapsulated postscript)

Scientific paper

10.1088/1126-6708/2000/08/030

A D3 brane in the background of NS5 branes is studied semi-classically. The conditions for preserved supersymmetry are derived, leading to a differential equation for the shape of the D3 brane. The solutions of this equation are analyzed. For a D3 brane intersecting the NS5 branes, the angle of approach is known to be restricted to discrete values. Four different ways to obtain this quantization are described. In particular, it is shown that, assuming the D3 brane avoids intersecting a {\em single} NS5 brane, the above discrete values correspond to the different possible positions of the D3 branes among the NS5 branes.

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