Discrete symmetries in Heterotic/Ftheory duality and mirror symmetry
We study aspects of Heterotic/Ftheory duality for compacti cations with Abelian discrete gauge symmetries. We consider Ftheory compacti cations on genusone bered CalabiYau manifolds with nsections, associated with the TateShafarevich group Z _{n}. Such models are obtained by studying rst a speci c toric setup whose associated Heterotic vector bundle has structure group Z _{n}. By employing a conjectured Heterotic/Ftheory mirror symmetry we construct dual geometries of these original toric models, where in the stable degeneration limit we obtain a discrete gauge symmetry of order two and three, for compacti cations to six dimensions. We provide explicit constructions of mirrorpairs for symmetric examples with Z _{2} and Z _{3}, in six dimensions. The Heterotic models with symmetric discrete symmetries are related in eld theory to a Higgsing of Heterotic models with two symmetric abelian U(1) gauge factors, where due to the Stuckelberg mechanism only a diagonal U(1) factor remains massless, and thus after Higgsing only a diagonal discrete symmetry of order n is present in the Heterotic models and detected via Heterotic/Ftheory duality. These constructions also provide further evidence for the conjectured mirror symmetry in Heterotic/Ftheory at the level of brations with torsional sections and those with multisections.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics; Univ. of Maribor, Maribor (Slovenia)
 Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics
 Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
 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: 2017; Journal Issue: 6; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Pennsylvania, Philadelphia, PA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 97 MATHEMATICS AND COMPUTING; Discrete Symmetries; Ftheory; String Duality; Superstrings; Heterotic Strings
 OSTI Identifier:
 1425672
Cvetič, Mirjam, Grassi, Antonella, and Poretschkin, Maximilian. Discrete symmetries in Heterotic/Ftheory duality and mirror symmetry. United States: N. p.,
Web. doi:10.1007/JHEP06(2017)156.
Cvetič, Mirjam, Grassi, Antonella, & Poretschkin, Maximilian. Discrete symmetries in Heterotic/Ftheory duality and mirror symmetry. United States. doi:10.1007/JHEP06(2017)156.
Cvetič, Mirjam, Grassi, Antonella, and Poretschkin, Maximilian. 2017.
"Discrete symmetries in Heterotic/Ftheory duality and mirror symmetry". United States.
doi:10.1007/JHEP06(2017)156. https://www.osti.gov/servlets/purl/1425672.
@article{osti_1425672,
title = {Discrete symmetries in Heterotic/Ftheory duality and mirror symmetry},
author = {Cvetič, Mirjam and Grassi, Antonella and Poretschkin, Maximilian},
abstractNote = {We study aspects of Heterotic/Ftheory duality for compacti cations with Abelian discrete gauge symmetries. We consider Ftheory compacti cations on genusone bered CalabiYau manifolds with nsections, associated with the TateShafarevich group Zn. Such models are obtained by studying rst a speci c toric setup whose associated Heterotic vector bundle has structure group Zn. By employing a conjectured Heterotic/Ftheory mirror symmetry we construct dual geometries of these original toric models, where in the stable degeneration limit we obtain a discrete gauge symmetry of order two and three, for compacti cations to six dimensions. We provide explicit constructions of mirrorpairs for symmetric examples with Z2 and Z3, in six dimensions. The Heterotic models with symmetric discrete symmetries are related in eld theory to a Higgsing of Heterotic models with two symmetric abelian U(1) gauge factors, where due to the Stuckelberg mechanism only a diagonal U(1) factor remains massless, and thus after Higgsing only a diagonal discrete symmetry of order n is present in the Heterotic models and detected via Heterotic/Ftheory duality. These constructions also provide further evidence for the conjectured mirror symmetry in Heterotic/Ftheory at the level of brations with torsional sections and those with multisections.},
doi = {10.1007/JHEP06(2017)156},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2017,
place = {United States},
year = {2017},
month = {6}
}