Exotic matter on singular divisors in Ftheory
Abstract
We analyze exotic matter representations that arise on singular sevenbrane configurations in Ftheory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2index and 3index symmetric representations of SU(N) and SU(2) respectively, associated with double and triple point singularities in the sevenbrane 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 nonUFD 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 lowenergy spectrum of 6D theories, identifying some new examples of apparent “swampland” theories that cannot be realized in Ftheory but have no apparent lowenergy inconsistency.
 Authors:

 European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
 Univ. of California, Santa Barbara, CA (United States). Dept. of Mathematics and Physics
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics, Dept. of Physics
 Publication Date:
 Research Org.:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1505583
 Grant/Contract Number:
 SC0012567
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; FTheory; Differential and Algebraic Geometry; Supergravity Models; Superstring Vacua
Citation Formats
Klevers, Denis, Morrison, David R., Raghuram, Nikhil, and Taylor, Washington. Exotic matter on singular divisors in Ftheory. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)124.
Klevers, Denis, Morrison, David R., Raghuram, Nikhil, & Taylor, Washington. Exotic matter on singular divisors in Ftheory. United States. doi:10.1007/jhep11(2017)124.
Klevers, Denis, Morrison, David R., Raghuram, Nikhil, and Taylor, Washington. Mon .
"Exotic matter on singular divisors in Ftheory". United States. doi:10.1007/jhep11(2017)124. https://www.osti.gov/servlets/purl/1505583.
@article{osti_1505583,
title = {Exotic matter on singular divisors in Ftheory},
author = {Klevers, Denis and Morrison, David R. and Raghuram, Nikhil and Taylor, Washington},
abstractNote = {We analyze exotic matter representations that arise on singular sevenbrane configurations in Ftheory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2index and 3index symmetric representations of SU(N) and SU(2) respectively, associated with double and triple point singularities in the sevenbrane 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 nonUFD 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 lowenergy spectrum of 6D theories, identifying some new examples of apparent “swampland” theories that cannot be realized in Ftheory but have no apparent lowenergy inconsistency.},
doi = {10.1007/jhep11(2017)124},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}
Web of Science
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