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D=7 / D=6 Heterotic Supergravity with Gauged R-Symmetry
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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 Horava-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 Kahler 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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Scale separation on AdS$_3\times S^3$ with and without supersymmetry
The complete Kaluza-Klein spectrum of six-dimensional Salam-Sezgin supergravity on AdS3 times a squashed three-sphere is computed; in the large-squashing limit, all but a small set of low-energy fields acquire infinite mass.
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