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Title: General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure

We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two. This construction produces broad classes of models with diverse matter spectra, including many that are not realized in earlier F-theory constructions with U(1)×U(1) gauge symmetry. Generic U(1)×U(1) models can be related to a Higgsed non-Abelian model with gauge group SU(2)×SU(2)×SU(3), SU(2) 3×SU(3), or a subgroup thereof. The nonlocal horizontal divisors of the Mordell-Weil group are replaced with local vertical divisors associated with the Cartan generators of non-Abelian gauge groups from Kodaira singularities. We give a global resolution of codimension two singularities of the Abelian model; we identify the full anomaly free matter content, and match it to the unHiggsed non-Abelian model. The non-Abelian Weierstrass model exhibits a new algebraic description of the singularities in the fibration that results in the first explicit construction of matter in the symmetric representation of SU(3). This matter is realized on double point singularities of the discriminant locus. In conclusion, the construction suggests a generalization to U(1) k factors with k > 2, which can be studied by Higgsing theories with larger non-Abelian gauge groups.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor, Maribor (Slovenia)
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
  3. Univ. of Pennsylvania, Philadelphia, PA (United States)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Grant/Contract Number:
SC0013528
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; F-Theory; Differential and Algebraic Geometry; Gauge Symmetry
OSTI Identifier:
1436880

Cvetic, Mirjam, Klevers, Denis, Piragua, Hernan, and Taylor, Washington. General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure. United States: N. p., Web. doi:10.1007/JHEP11(2015)204.
Cvetic, Mirjam, Klevers, Denis, Piragua, Hernan, & Taylor, Washington. General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure. United States. doi:10.1007/JHEP11(2015)204.
Cvetic, Mirjam, Klevers, Denis, Piragua, Hernan, and Taylor, Washington. 2015. "General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure". United States. doi:10.1007/JHEP11(2015)204. https://www.osti.gov/servlets/purl/1436880.
@article{osti_1436880,
title = {General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure},
author = {Cvetic, Mirjam and Klevers, Denis and Piragua, Hernan and Taylor, Washington},
abstractNote = {We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two. This construction produces broad classes of models with diverse matter spectra, including many that are not realized in earlier F-theory constructions with U(1)×U(1) gauge symmetry. Generic U(1)×U(1) models can be related to a Higgsed non-Abelian model with gauge group SU(2)×SU(2)×SU(3), SU(2)3×SU(3), or a subgroup thereof. The nonlocal horizontal divisors of the Mordell-Weil group are replaced with local vertical divisors associated with the Cartan generators of non-Abelian gauge groups from Kodaira singularities. We give a global resolution of codimension two singularities of the Abelian model; we identify the full anomaly free matter content, and match it to the unHiggsed non-Abelian model. The non-Abelian Weierstrass model exhibits a new algebraic description of the singularities in the fibration that results in the first explicit construction of matter in the symmetric representation of SU(3). This matter is realized on double point singularities of the discriminant locus. In conclusion, the construction suggests a generalization to U(1) k factors with k > 2, which can be studied by Higgsing theories with larger non-Abelian gauge groups.},
doi = {10.1007/JHEP11(2015)204},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2015,
place = {United States},
year = {2015},
month = {11}
}