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D =7/D =6 heterotic supergravity with gauged R-symmetry

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Abstract

We construct a family of chiral anomaly-free supergravity theories in D =6 starting from D = 7 supergravity with a gauged noncompact R-symmetry, employing a Hořava-Witten bulk-plus-boundary construction. The gauged noncompact R-symmetry yields a positive (de Sitter sign) D = 6 scalar field potential. Classical anomaly inflow which is needed to cancel boundary-field loop anomalies requires careful consideration of the gravitational, gauge, mixed and local supersymmetry anomalies. Coupling of boundary hypermultiplets requires care with the Sp(1) gauge connection required to obtain quaternionic Kähler target manifolds in D = 6. This class of gauged R-symmetry models may be of use as starting points for further compactifications to D = 4 that take advantage of the positive scalar potential, such as those proposed in the scenario of supersymmetry in large extra dimensions.

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Authors and Affiliations

  1. The Blackett Laboratory, Imperial College, Prince Consort Road, London, SW7 2BZ, U.K.

    T. G. Pugh & K. S. Stelle

  2. George and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A &M University, College Station, TX, 77843, USA

    E. Sezgin & K. S. Stelle

Authors
  1. T. G. Pugh
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  2. E. Sezgin
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  3. K. S. Stelle
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Correspondence to K. S. Stelle.

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ArXiv ePrint:1008.0726

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Pugh, T.G., Sezgin, E. & Stelle, K.S. D =7/D =6 heterotic supergravity with gauged R-symmetry. J. High Energ. Phys. 2011, 115 (2011). https://doi.org/10.1007/JHEP02(2011)115

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