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Title:Chiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors
Authors:ID Cvetič, Mirjam (Author)
ID Grassi, Antonella (Author)
ID Klevers, Denis (Author)
ID Piragua, Hernan (Author)
Files:.pdf Journal_of_High_Energy_Physics_2014_Cvetic_et_al._Chiral_four-dimensional_F-theory_compactifications_with_SU(5)_and_multiple_U(1)-factor.pdf (1,75 MB)
MD5: ED46E44E2717FD45674DE132C6C911FA
 
URL http://link.springer.com/10.1007/JHEP04(2014)010
 
Language:English
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:UM - University of Maribor
Abstract:We develop geometric techniques to determine the spectrum and the chiral indices of matter multiplets for four-dimensional F-theory compactifications on elliptic Calabi-Yau fourfolds with rank two Mordell-Weil group. The general elliptic fiber is the Calabi-Yau onefold in dP(2). We classify its resolved elliptic fibrations over a general base B. The study of singularities of these fibrations leads to explicit matter representations, that we determine both for U(1) xU(1) and SU(5) x U(1) x U(1) constructions. We determine for the first time certain matter curves and surfaces using techniques involving prime ideals. The vertical cohomology ring of these fourfolds is calculated for both cases and general formulas for the Euler numbers are derived. Explicit calculations are presented for a specific base B = P-3. We determine the general G(4)-flux that belongs to H-V((2,2)) of the resolved Calabi-Yau fourfolds. As a by-product, we derive for the first time all conditions on G(4)-flux in general F-theory compactifications with a non-holomorphic zero section. These conditions have to be formulated after a circle reduction in terms of Chern-Simons terms on the 3D Coulomb branch and invoke M-theory/F-theory duality. New ChernSimons terms are generated by Kaluza-Klein states of the circle compactification. We explicitly perform the relevant field theory computations, that yield non-vanishing results precisely for fourfolds with a non-holomorphic zero section. Taking into account the new Chern-Simons terms, all 4D matter chiralities are determined via 3D M-theory/F-theory duality. We independently check these chiralities using the subset of matter surfaces we determined. The presented techniques are general and do not rely on toric data.
Keywords:flux compactifications, F-theory
Publication status:Published
Publication version:Version of Record
Year of publishing:2014
Number of pages:str. 1-93
Numbering:Letn. 2014, št. 4
PID:20.500.12556/DKUM-66457 New window
ISSN:1029-8479
UDC:530.122.3
ISSN on article:1029-8479
COBISS.SI-ID:81516289 New window
DOI:10.1007/JHEP04(2014)010 New window
NUK URN:URN:SI:UM:DK:XETHIWXO
Publication date in DKUM:27.06.2017
Views:1169
Downloads:512
Metadata:XML DC-XML DC-RDF
Categories:Misc.
:
CVETIČ, Mirjam, GRASSI, Antonella, KLEVERS, Denis and PIRAGUA, Hernan, 2014, Chiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors. The journal of high energy physics [online]. 2014. Vol. 2014, no. 4, p. 1–93. [Accessed 13 April 2025]. DOI 10.1007/JHEP04(2014)010. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=66457
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Record is a part of a journal

Title:The journal of high energy physics
Shortened title:J. high energy phys.
Publisher:SISSA
ISSN:1029-8479
COBISS.SI-ID:1314148 New window

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:27.06.2017

Secondary language

Language:Slovenian
Keywords:F-teorija, kompaktifikacija toka


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