Exotic matter on singular divisors in F-theory
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Author(s)
Klevers, Denis
Morrison, David R.
Raghuram, Nikhil
Taylor IV, Washington
Date Issued
November 2017
Journal
Journal of High Energy Physics
Publisher
Springer International Publishing AG
Citation
Klevers, Denis et al. "Exotic matter on singular divisors in F-theory." Journal of High Energy Physics 2017 (November 2017): 124 © 2017 The Author(s)
Version
Final published version
Abstract
We analyze exotic matter representations that arise on singular seven-brane configurations in F-theory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2-index and 3-index symmetric representations of SU(N) and SU(2) respectively, associated with double and triple point singularities in the seven-brane locus. These matter representations are associated with Weierstrass models whose discriminants vanish to high order thanks to nontrivial cancellations possible only in the presence of a non-UFD algebraic structure. This structure can be described using the normalization of the ring of intrinsic local functions on a singular divisor. We consider the connection between geometric constraints on singular curves and corresponding constraints on the low-energy spectrum of 6D theories, identifying some new examples of apparent “swampland” theories that cannot be realized in F-theory but have no apparent low-energy inconsistency. Keywords: F-Theory; Differential and Algebraic Geometry; Supergravity Models; Superstring Vacua
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP11(2017)124
