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|a Klevers, Denis
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|a Massachusetts Institute of Technology. Center for Theoretical Physics
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|a Massachusetts Institute of Technology. Department of Physics
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|a Raghuram, Nikhil
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|a Taylor IV, Washington
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|a Morrison, David R.
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|a Raghuram, Nikhil
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|a Taylor IV, Washington
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|a Exotic matter on singular divisors in F-theory
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|b Springer International Publishing AG,
|c 2018-04-09T15:39:00Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/114622
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|a 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
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|a National Science Foundation (U.S.) (Grant PHY-1066293)
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|a en
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|a Article
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|t Journal of High Energy Physics
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