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http://arxiv.org/abs/1008.1062
Global aspects of the space of 6D N = 1 supergravities
Vijay Kumar, David R. Morrison, Washington Taylor
"If these models cannot be realized through some novel string construction, it will indicate that string theory imposes strong constraints on 6D N = 1 supergravity theories beyond the known stringent anomaly cancellation and gauge kinetic term sign constraints. If these additional constraints can be understood in terms of new quantum consistency conditions on the set of low-energy eective theories, it will provide a new window on general theories of quantum gravity; if not, it will indicate the existence of stringy constraints which may distinguish string theory from other possible UV-complete quantum gravity theories."
http://arxiv.org/abs/1011.0726
6D supergravity without tensor multiplets
Vijay Kumar, Daniel Park, Washington Taylor
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.