General U(1)×U(1) Ftheory compactifications and beyond: geometry of unHiggsings and novel matter structure
Abstract
We construct the general form of an Ftheory compactification with two U(1) factors based on a general elliptically fibered CalabiYau manifold with MordellWeil group of rank two. This construction produces broad classes of models with diverse matter spectra, including many that are not realized in earlier Ftheory constructions with U(1)×U(1) gauge symmetry. Generic U(1)×U(1) models can be related to a Higgsed nonAbelian 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 MordellWeil group are replaced with local vertical divisors associated with the Cartan generators of nonAbelian 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 nonAbelian model. The nonAbelian 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 nonAbelian gauge groups.
 Authors:

 Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor, Maribor (Slovenia)
 European Organization for Nuclear Research (CERN), Geneva (Switzerland)
 Univ. of Pennsylvania, Philadelphia, PA (United States)
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Publication Date:
 Research Org.:
 Univ. of Pennsylvania, Philadelphia, PA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1436880
 Grant/Contract Number:
 SC0013528
 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: 2015; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FTheory; Differential and Algebraic Geometry; Gauge Symmetry
Citation Formats
Cvetic, Mirjam, Klevers, Denis, Piragua, Hernan, and Taylor, Washington. General U(1)×U(1) Ftheory compactifications and beyond: geometry of unHiggsings and novel matter structure. United States: N. p., 2015.
Web. doi:10.1007/JHEP11(2015)204.
Cvetic, Mirjam, Klevers, Denis, Piragua, Hernan, & Taylor, Washington. General U(1)×U(1) Ftheory 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. Mon .
"General U(1)×U(1) Ftheory 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) Ftheory 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 Ftheory compactification with two U(1) factors based on a general elliptically fibered CalabiYau manifold with MordellWeil group of rank two. This construction produces broad classes of models with diverse matter spectra, including many that are not realized in earlier Ftheory constructions with U(1)×U(1) gauge symmetry. Generic U(1)×U(1) models can be related to a Higgsed nonAbelian 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 MordellWeil group are replaced with local vertical divisors associated with the Cartan generators of nonAbelian 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 nonAbelian model. The nonAbelian 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 nonAbelian 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}
}
Web of Science
Figures / Tables:
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