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Counting supersymmetric branes

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arxiv 1109.2025 v2 pith:AUN5GTJF submitted 2011-09-09 hep-th gr-qc

classification hep-thgr-qc
keywords branessigmasolutionsco-dimensioncountingobjectssupergravityanalysed
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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^{-\sigma} for \sigma>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 \sigma<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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cobordism Utopia: U-Dualities, Bordisms, and the Swampland

    hep-th 2025-05 conditional novelty 7.0 of 10

    For 8d maximal supergravity, the spin bordism groups Omega_k^Spin(B(SL(2,Z) x SL(3,Z))) for k=1..7 are computed and each generator is realized by a string/M/F-theory background, some of which are non-geometric.

  2. Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields

    hep-th 2019-09 accept novelty 7.0 of 10

    Mixed-symmetry potentials such as the dual graviton are embedded into exceptional field theory's p-form multiplets, with T- and S-duality rules derived for the E8 case.

  3. EFTs with Symmetric Moduli Spaces: the Landscape and the Swampland

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Using weight polytopes of irreducible representations, a finite list of symmetric moduli spaces satisfies the SDC decay rates; most embed from an E8(8) EFT but three cannot be obtained from string or M-theory compacti...

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