A bound on 6D N=1 supergravities
High Energy Physics - Theory
2015-05-14 v3
Abstract
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.
Keywords
Cite
@article{arxiv.0910.1586,
title = {A bound on 6D N=1 supergravities},
author = {Vijay Kumar and Washington Taylor},
journal= {arXiv preprint arXiv:0910.1586},
year = {2015}
}
Comments
23 pages, no figures; two paragraphs added to the proof in Appendix A covering the SU(2) and SU(3) case, other minor corrections