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arXiv · hep-th/0106162

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

M. Cvetic·G. W. Gibbons·James T. Liu·H. Lu·C. N. Pope
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Abstract

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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M. Cvetic, G. W. Gibbons, James T. Liu, H. Lu, C. N. Pope. 2001-06-19. A New Fractional D2-brane, G_2 Holonomy and T-duality. https://doi.org/10.1088/0264-9381%2F19%2F20%2F310

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