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G-Structures and Wrapped NS5-Branes

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Abstract

We analyse the geometrical structure of supersymmetric solutions of type II supergravity of the form 1,9−n×M n with non-trivial NS flux and dilaton. Solutions of this type arise naturally as the near-horizon limits of wrapped NS fivebrane geometries. We concentrate on the case d=7, preserving two or four supersymmetries, corresponding to branes wrapped on associative or SLAG three-cycles. Given the existence of Killing spinors, we show that M 7 admits a G 2-structure or an SU(3)-structure, respectively, of specific type. We also prove the converse result. We use the existence of these geometric structures as a new technique to derive some known and new explicit solutions, as well as a simple theorem implying that we have vanishing NS three-form and constant dilaton whenever M 7 is compact with no boundary. The analysis extends simply to other type II examples and also to type I supergravity.

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Authors and Affiliations

  1. Department of Physics, Queen Mary, University of London, Mile End Rd, London, E1 4NS, U.K

    Jerome P. Gauntlett, Dario Martelli, Stathis Pakis & Daniel Waldram

  2. Isaac Newton Institute for Mathematical Sciences, University of Cambridge, 20 Clarkson Road, Cambridge, CB3 0EH, U.K

    Jerome P. Gauntlett

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  1. Jerome P. Gauntlett
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  2. Dario Martelli
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  3. Stathis Pakis
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  4. Daniel Waldram
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R.H. Dijkgraaf

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Gauntlett, J., Martelli, D., Pakis, S. et al. G-Structures and Wrapped NS5-Branes. Commun. Math. Phys. 247, 421–445 (2004). https://doi.org/10.1007/s00220-004-1066-y

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