Counting supersymmetric branes

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.

1+33 pages. To the memory of Laurent Houart. v2: Published version with added references

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• Heterotic wrapping rules
• Weaving the Exotic Web
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• Non-abelian U-duality at work
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• Oxidizing Borcherds symmetries
• U-dual branes and mixed symmetry tensor fields
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• Symmetries of M-theory and free Lie superalgebras
• Towards a classification of branes in theories with eight supercharges
• Heterotic-Type II duality and wrapping rules
• Bound States of String Theory and Beyond
• Supersymmetric domain walls in 7D maximal gauged supergravity
• The different faces of branes in Double Field Theory
• Supersymmetry Projection Rules on Exotic Branes
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• Space-filling branes & gaugings
• Non-geometric orbifolds and wrapping rules
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• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• Exotic Branes from del Pezzo Surfaces
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Reductions of Exceptional Field Theories
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