Charge Lattices and Consistency of 6D Supergravity
High Energy Physics - Theory
2015-05-27 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1103.0019,
title = {Charge Lattices and Consistency of 6D Supergravity},
author = {Nathan Seiberg and Washington Taylor},
journal= {arXiv preprint arXiv:1103.0019},
year = {2015}
}
Comments
15 pages. v2: minor changes; references, additional example added; v3: minor corrections and clarifications added, JHEP version