Origin of Abelian gauge symmetries in heterotic/Ftheory duality
Abstract
Here, we study aspects of heterotic/Ftheory duality for compactifications with Abelian gauge symmetries. We consider Ftheory on general CalabiYau manifolds with a rank one MordellWeil group of rational sections. By rigorously performing the stable degeneration limit in a class of toric models, and also derive both the CalabiYau geometry and 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 nonAbelian 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 nontrivial MordellWeil group. And while the number of geometrically massless U(1)'s is determined entirely by geometry on the Ftheory side, on the heterotic side the correct number of U(1)'s is found by takingmore »
 Authors:

 Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Univ. of Maribor (Slovenia). Center for Applied Mathematics and Theoretical Physics
 Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics
 European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Group
 Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
 Publication Date:
 Research Org.:
 Univ. of Pennsylvania, Philadelphia, PA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1327295
 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: 2016; Journal Issue: 4; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FTheory; String Duality; Superstrings and Heterotic Strings; MTheory
Citation Formats
Cvetič, Mirjam, Grassi, Antonella, Klevers, Denis, Poretschkin, Maximilian, and Song, Peng. Origin of Abelian gauge symmetries in heterotic/Ftheory duality. United States: N. p., 2016.
Web. doi:10.1007/JHEP04(2016)041.
Cvetič, Mirjam, Grassi, Antonella, Klevers, Denis, Poretschkin, Maximilian, & Song, Peng. Origin of Abelian gauge symmetries in heterotic/Ftheory duality. United States. doi:10.1007/JHEP04(2016)041.
Cvetič, Mirjam, Grassi, Antonella, Klevers, Denis, Poretschkin, Maximilian, and Song, Peng. Thu .
"Origin of Abelian gauge symmetries in heterotic/Ftheory duality". United States. doi:10.1007/JHEP04(2016)041. https://www.osti.gov/servlets/purl/1327295.
@article{osti_1327295,
title = {Origin of Abelian gauge symmetries in heterotic/Ftheory duality},
author = {Cvetič, Mirjam and Grassi, Antonella and Klevers, Denis and Poretschkin, Maximilian and Song, Peng},
abstractNote = {Here, we study aspects of heterotic/Ftheory duality for compactifications with Abelian gauge symmetries. We consider Ftheory on general CalabiYau manifolds with a rank one MordellWeil group of rational sections. By rigorously performing the stable degeneration limit in a class of toric models, and also derive both the CalabiYau geometry and 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 nonAbelian 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 nontrivial MordellWeil group. And while the number of geometrically massless U(1)'s is determined entirely by geometry on the Ftheory side, on the heterotic side the correct number of U(1)'s is found by taking into account a Stuckelberg mechanism in the lowerdimensional effective theory. Finally, in geometry, this corresponds to the condition that sections in the two half K3 surfaces that arise in the stable degeneration limit of Ftheory can be glued together globally.},
doi = {10.1007/JHEP04(2016)041},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2016,
place = {United States},
year = {2016},
month = {4}
}
Web of Science