CERN Accelerating science

Article
Report number	arXiv:1511.08208 ; UPR-1275-T ; CERN-PH-TH-2015-273 ; CERN-PH-TH-2015-273 ; UPR-1275-T
Title	Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality
Author(s)	Cvetic, Mirjam (Pennsylvania U. ; Maribor U.) ; Grassi, Antonella (Pennsylvania U., Dept. Math.) ; Klevers, Denis (CERN) ; Poretschkin, Maximilian (Pennsylvania U.) ; Song, Peng (Pennsylvania U.)
Publication	2016-04-07
Imprint	25 Nov 2015
Number of pages	52
Note	52 pages, 15 figures
In:	JHEP 04 (2016) 041
DOI	10.1007/JHEP04(2016)041
Subject category	Particle Physics - Theory
Abstract	We study aspects of heterotic/F-theory duality for compactifications with Abelian gauge symmetries. We consider F-theory on general Calabi-Yau manifolds with a rank one Mordell-Weil group of rational sections. By rigorously performing the stable degeneration limit in a class of toric models, we derive both the Calabi-Yau geometry as well as the spectral cover describing the vector bundle in the heterotic dual theory. We carefully investigate the spectral cover employing the group law on the elliptic curve in the heterotic theory. We find in explicit examples that there are three different classes of heterotic duals that have U(1) factors in their low energy effective theories: split spectral covers describing bundles with S(U(m) x U(1)) structure group, spectral covers containing torsional sections that seem to give rise to bundles with SU(m) x Z_k structure group and bundles with purely non-Abelian structure groups having a centralizer in E_8 containing a U(1) factor. In the former two cases, it is required that the elliptic fibration on the heterotic side has a non-trivial Mordell-Weil group. While the number of geometrically massless U(1)'s is determined entirely by geometry on the F-theory side, on the heterotic side the correct number of U(1)'s is found by taking into account a Stuckelberg mechanism in the lower-dimensional effective theory. In geometry, this corresponds to the condition that sections in the two half K3 surfaces that arise in the stable degeneration limit of F-theory can be glued together globally.
Copyright/License	arXiv nonexclusive-distrib. 1.0 publication: © 2016-2025 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³ preprint: © 2015-2025 CERN (License: CC-BY-4.0)

Corresponding record in: Inspire