A bound on 6D N=1 supergravities

Details A bound on 6D N=1 supergravities A bound on 6D N=1 supergravities

2009-10-08

arxiv.org/abs/0910.1586v3

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, no figures; two paragraphs added to the proof in Appendix A covering the SU(2) and SU(3) case, other minor correctio

Scientific paper

We prove that there are only finitely many distinct semi-simple gauge groups and matter representations possible in consistent 6D chiral (1,0) supergravity theories with one tensor multiplet. The proof relies only on features of the low-energy theory; the consistency conditions we impose are that anomalies should be cancelled by the Green-Schwarz mechanism, and that the kinetic terms for all fields should be positive in some region of moduli space. This result does not apply to the case of the non-chiral (1,1) supergravities, which are not constrained by anomaly cancellation.

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