Global aspects of the space of 6 D N = 1 supergravities


We perform a global analysis of the space of consistent 6D quantum gravity theories with N = 1 supersymmetry, including models with multiple tensor multiplets. We prove that for theories with fewer than T = 9 tensor multiplets, a finite number of distinct gauge groups and matter content are possible. We find infinite families of field combinations satisfying anomaly cancellation and admitting physical gauge kinetic terms for T > 8. We find an integral lattice associated with each apparently-consistent supergravity theory; this lattice is determined by the form of the anomaly polynomial. For models which can be realized in F-theory, this anomaly lattice is related to the intersection form on the base of the F-theory elliptic fibration. The condition that a supergravity model have an F-theory realization imposes constraints which can be expressed in terms of this lattice. The analysis of models which satisfy known low-energy consistency conditions and yet violate F-theory constraints suggests possible novel constraints on low-energy supergravity theories. ar X iv :1 00 8. 10 62 v1 [ he pth ] 5 A ug 2 01 0

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@inproceedings{Kumar2010GlobalAO, title={Global aspects of the space of 6 D N = 1 supergravities}, author={Vijay Kumar and David R. Morrison and Washington Taylor}, year={2010} }