Charge Lattices and Consistency of 6D Supergravity

Details Charge Lattices and Consistency of 6D Supergravity Charge Lattices and Consistency of 6D Supergravity

2011-02-28

arxiv.org/abs/1103.0019v3

Physics

High Energy Physics

High Energy Physics - Theory

15 pages. v2: minor changes; references, additional example added; v3: minor corrections and clarifications added, JHEP versio

Scientific paper

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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