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Gravity Duals of Fractional Branes in Various Dimensions

Christopher P. Herzog·Igor R. Klebanov
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Abstract

We derive type II supergravity solutions corresponding to space-filling regular and fractional Dp branes on (9-p)-dimensional conical transverse spaces. Fractional Dp-branes are wrapped D(p+2)-branes; therefore, our solutions exist only if the base of the cone has a non-vanishing Betti number b_2. We also consider 11-dimensional SUGRA solutions corresponding to regular and fractional M2 branes on 8-dimensional cones whose base has a non-vanishing b_3. (In this case a fractional M2-brane is an M5-brane wrapped over a 3-cycle.) We discuss the gauge theory intepretation of these solutions, as well as of the solutions constructed by Cvetic et al. in hep-th/0011023 and hep-th/0012011.

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Christopher P. Herzog, Igor R. Klebanov. 2001-04-27. Gravity Duals of Fractional Branes in Various Dimensions. https://doi.org/10.1103/physrevd.63.126005

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