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Charge Lattices and Consistency of 6D Supergravity

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arxiv 1103.0019 v3 pith:RTJZQXPE submitted 2011-02-28 hep-th

classification hep-th
keywords theorygammasupergravitychargeconditionsconsistencylatticeself-dual
verification ladder T0 review T1 audit T2 compute T3 formal
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We extend the known consistency conditions on the low-energy theory of six-dimensional N = 1 supergravity. We review some facts about the theory of two-form gauge fields and conclude that the charge lattice Gamma for such a theory has to be self-dual. The Green-Schwarz anomaly cancellation conditions in the supergravity theory determine a sublattice of Gamma. The condition that this sublattice can be extended to a self-dual lattice Gamma leads to a strong constraint on theories that otherwise appear to be self-consistent.

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Cited by 10 Pith papers

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