Discrete symmetries in Heterotic/F-theory duality and mirror symmetry

Cvetič, Mirjam; Grassi, Antonella; Poretschkin, Maximilian

doi:10.1007/JHEP06(2017)156

Discrete symmetries in Heterotic/F-theory duality and mirror symmetry

Journal Article · Fri Jun 30 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP06(2017)156· OSTI ID:1425672

Cvetič, Mirjam ^[1]; Grassi, Antonella ^[2]; Poretschkin, Maximilian ^[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); Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, U.S.A.
Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics
Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy

We study aspects of Heterotic/F-theory duality for compacti cations with Abelian discrete gauge symmetries. We consider F-theory compacti cations on genus-one bered Calabi-Yau manifolds with n-sections, associated with the Tate-Shafarevich group Z_n. Such models are obtained by studying rst a speci c toric set-up 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 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/F-theory duality. These constructions also provide further evidence for the conjectured mirror symmetry in Heterotic/F-theory at the level of brations with torsional sections and those with multi-sections.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0013528

OSTI ID:: 1425672

Alternate ID(s):: OSTI ID: 22699560

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 6 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Nongeometric heterotic strings and dual F-theory with enhanced gauge groups Kimura, Yusuke Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/jhep02(2019)036	journal	February 2019
High U(1) charges in type IIB models and their F-theory lift Cianci, Francesco Mattia; Mayorga Peña, Damián K.; Valandro, Roberto Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/jhep04(2019)012	journal	April 2019
Non-vanishing heterotic superpotentials on elliptic fibrations Buchbinder, Evgeny I.; Lin, Ling; Ovrut, Burt A. Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/jhep09(2018)111	journal	September 2018
Non-vanishing Heterotic Superpotentials on Elliptic Fibrations Buchbinder, Evgeny I.; Lin, Ling; Ovrut, Burt A. arXiv https://doi.org/10.48550/arxiv.1806.04669	text	January 2018
Nongeometric heterotic strings and dual F-theory with enhanced gauge groups Kimura, Yusuke arXiv https://doi.org/10.48550/arxiv.1810.07657	text	January 2018
High U(1) charges in type IIB models and their F-theory lift Cianci, Francesco Mattia; Pena, Damian Kaloni Mayorga; Valandro, Roberto arXiv https://doi.org/10.48550/arxiv.1811.11777	preprint	January 2018

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