D-branes in Melvin Background

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 44 pages, 4 figures, v2: one figure added, position of figures moved, several points clarified, typos corrected and ref

Scientific paper

10.1088/1126-6708/2001/11/036

In this paper we discuss D-branes in the Melvin background and its supersymmetric generalizations. In particular we determine the D-brane spectra in these backgrounds by constructing their boundary states explicitly, where some of the D-branes are supersymmetric. The results sensitively depend on whether the value of magnetic flux in the Melvin background is rational or irrational. For the rational case the D-branes are regarded as the generalizations of fractional D-branes in abelian orbifolds ${\bf C^n/Z_N}$ of type II or type 0 string theory. For the irrational case we found a very limited spectrum. Since the background includes the nontrivial H-flux, the D-branes will provide interesting examples from the viewpoint of the noncommutative geometry.

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