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Title: Exotic matter on singular divisors in F-theory

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.

Authors:
 [1];  [2];  [3];  [3]
  1. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
  2. Univ. of California, Santa Barbara, CA (United States). Dept. of Mathematics and Physics
  3. 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 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; F-Theory; 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 F-theory. 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 F-theory. 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 F-theory". 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 F-theory},
author = {Klevers, Denis and Morrison, David R. and Raghuram, Nikhil and Taylor, Washington},
abstractNote = {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.},
doi = {10.1007/jhep11(2017)124},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}

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Cited by: 11 works
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