Global aspects of the space of 6D N = 1 supergravities
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Author(s)
Morrison, David R.
Kumar, Vijay
Taylor IV, Washington
Date Issued
November 2010
Journal
Journal of High Energy Physics
Publisher
Springer Science + Business Media B.V.
Citation
Kumar, Vijay, David Morrison, and Washington Taylor. “Global Aspects of the Space of 6D N = 1 Supergravities.” Journal of High Energy Physics 2010.11 (2010) : 1-39.
Version
Author's final manuscript
Abstract
We develop a systematic framework for realizing general anomaly-free chiral 6D supergravity theories in F-theory. We focus on 6D (1, 0) models with one tensor multiplet whose gauge group is a product of simple factors (modulo a finite abelian group) with matter in arbitrary representations. Such theories can be decomposed into blocks associated with the simple factors in the gauge group; each block depends only on the group factor and the matter charged under it. All 6D chiral supergravity models can be constructed by gluing such blocks together in accordance with constraints from anomalies. Associating a geometric structure to each block gives a dictionary for translating a supergravity model into a set of topological data for an F-theory construction. We construct the dictionary of F-theory divisors explicitly for some simple gauge group factors and associated matter representations. Using these building blocks we analyze a variety of models. We identify some 6D supergravity models which do not map to integral F-theory divisors, possibly indicating quantum inconsistency of these 6D theories.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
MIT Kavli Institute for Astrophysics and Space Research
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1007/JHEP11(2010)118
