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Counting supersymmetric branes

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Abstract

Maximal supergravity solutions are revisited and classified, with particular emphasis on objects of co-dimension at most two. This class of solutions includes branes whose tension scales with xxxx. We present a group theory derivation of the counting of these objects based on the corresponding tensor hierarchies derived from E 11 and discrete T- and U-duality transformations. This provides a rationale for the wrapping rules that were recently discussed for σ ≤ 3 in the literature and extends them. Explicit supergravity solutions that give rise to co-dimension two branes are constructed and analysed.

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Authors and Affiliations

  1. Max Planck Institute for Gravitational Physics, Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam, Germany

    Axel Kleinschmidt

  2. International Solvay Institutes, Campus Plaine C.P. 231, Boulevard du Triomphe, 1050, Bruxelles, Belgium

    Axel Kleinschmidt

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  1. Axel Kleinschmidt
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Correspondence to Axel Kleinschmidt.

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ArXiv ePrint: 1109.2025

Dedicated to the memory of Laurent Houart

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Kleinschmidt, A. Counting supersymmetric branes. J. High Energ. Phys. 2011, 144 (2011). https://doi.org/10.1007/JHEP10(2011)144

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