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arXiv · 1109.2025

Counting supersymmetric branes

Axel Kleinschmidt
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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 g_s^{-σ} for σ>2. We present a group theory derivation of the counting of these objects based on the corresponding tensor hierarchies derived from E11 and discrete T- and U-duality transformations. This provides a rationale for the wrapping rules that were recently discussed for σ<4 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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Axel Kleinschmidt. 2011-12-06. Counting supersymmetric branes. https://doi.org/10.1007/jhep10(2011)144

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