Exotic matter on singular divisors in F-theory
Author(s)
Klevers, Denis; Morrison, David R.; Raghuram, Nikhil; Taylor IV, Washington
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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
Date issued
2017-11Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of PhysicsJournal
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
ISSN
1029-8479