6D supergravity without tensor multiplets

Abstract

We systematically investigate the finite set of possible gauge groups and matter content for N = 1 supergravity theories in six dimensions with no tensor multiplets, focusing on nonabelian gauge groups which are a product of SU(N) factors. We identify a number of models which obey all known low-energy consistency conditions, but which have no known string theory realization. Many of these models contain novel matter representations, suggesting possible new string theory constructions. Many of the most exotic matter structures arise in models which precisely saturate the gravitational anomaly bound on the number of hypermultiplets. Such models have a rigid symmetry structure, in the sense that there are no moduli which leave the full gauge group unbroken.

31 pages, latex; v2, v3: minor corrections, references added

References in corpus (3)

• T-Branes and Monodromy
• Global aspects of the space of 6D N = 1 supergravities
• Massive U(1)s and Heterotic Five-Branes on K3

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• Non-Higgsable QCD and the Standard Model Spectrum in F-theory
• 6D SCFTs and Gravity
• 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces
• Higgsing intersecting brane models on T^4/Z_N