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arXiv · 0910.1586

A bound on 6D N=1 supergravities

Vijay Kumar·Washington Taylor
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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.

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Vijay Kumar, Washington Taylor. 2009-12-15. A bound on 6D N=1 supergravities. https://doi.org/10.1088/1126-6708%2F2009%2F12%2F050

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