| Title: | Discrete symmetries in Heterotic/F-theory duality and mirror symmetry |
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| Authors: | ID Cvetič, Mirjam (Author)
ID Grassi, Antonella (Author)
ID Poretschkin, Maximilian (Author) |
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| Files: |  Journal_of_High_Energy_Physics_2017_Cvetic_et_al._Discrete_symmetries_in_HeteroticF-theory_duality_and_mirror_symmetry.pdf (510,30 KB)
MD5: 11F88B078CA313E105EDEB80F4E8E7DA
PID: 20.500.12556/dkum/585ff692-5daf-456f-9f43-9859e37fb037
 http://link.springer.com/10.1007/JHEP06(2017)156
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UM - University of Maribor
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| Abstract: | We study aspects of Heterotic/F-theory duality for compactifications with Abelian discrete gauge symmetries. We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with n-sections, associated with the Tate-Shafarevich group Z(n). Such models are obtained by studying first a specific toric set-up whose associated Heterotic vector bundle has structure group Z(n). By employing a conjectured Heterotic/F-theory 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 compactifications to six dimensions. We provide explicit constructions of mirror-pairs for symmetric examples with Z(2) and Z(3), in six dimensions. The Heterotic models with symmetric discrete symmetries are related in field 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 fibrations with torsional sections and those with multi-sections. |
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| Keywords: | discrete symmetries, F-theory, string duality, superstrings, heterotic strings |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2017 |
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| Number of pages: | str. 1-25 |
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| Numbering: | 2017, št. 6 |
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| PID: | 20.500.12556/DKUM-69870  |
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| ISSN: | 1029-8479 |
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| UDC: | 530.122.3 |
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| ISSN on article: | 1029-8479 |
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| COBISS.SI-ID: | 94081537 |
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| DOI: | 10.1007/JHEP06(2017)156 |
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| NUK URN: | URN:SI:UM:DK:MDRYBM5V |
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| Publication date in DKUM: | 08.03.2018 |
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| Views: | 2205 |
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| Downloads: | 454 |
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| Metadata: |    |
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| Categories: | Misc.
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