A New Fractional D2-brane, G_2 Holonomy and T-duality

Details A New Fractional D2-brane, G_2 Holonomy and T-duality A New Fractional D2-brane, G_2 Holonomy and T-duality

2001-06-19

arxiv.org/abs/hep-th/0106162v1

Class.Quant.Grav.19:5163-5172,2002

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages

Scientific paper

10.1088/0264-9381/19/20/310

Recently, a new example of a complete non-compact Ricci-flat metric of G_2 holonomy was constructed, which has an asymptotically locally conical structure at infinity with a circular direction whose radius stabilises. In this paper we find a regular harmonic 3-form in this metric, which we then use in order to obtain an explicit solution for a fractional D2-brane configuration. By performing a T-duality transformation on the stabilised circle, we obtain the type IIB description of the fractional brane, which now corresponds to D3-brane with one of its world-volume directions wrapped around the circle.

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