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