20.500.12556/DKUM-69870 Discrete symmetries in Heterotic/F-theory duality and mirror symmetry 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. discrete symmetries F-theory string duality superstrings heterotic strings teorija superstrun F-teorija kvantna logika fizika elementarnih delcev true false true Angleški jezik Slovenski jezik Znanstveno delo 2018-03-08 09:41:05 2018-03-08 09:41:57 2022-08-01 18:15:58 2019-07-11 17:47:18 2017 0 0 str. 1-25 št. 6 2017 jun. 2017 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1029-8479 530.122.3 1314148 94081537 10.1007/JHEP06(2017)156 1029-8479 URN:SI:UM:DK:MDRYBM5V Journal_of_High_Energy_Physics_2017_Cvetic_et_al._Discrete_symmetries_in_HeteroticF-theory_duality_and_mirror_symmetry.pdf Journal_of_High_Energy_Physics_2017_Cvetic_et_al._Discrete_symmetries_in_HeteroticF-theory_duality_and_mirror_symmetry.pdf 1 11F88B078CA313E105EDEB80F4E8E7DA 120bc891d5db867a3426e38a47ec317f21febbf09c98e7a6eb8576d1515d43f6 b5537e1e-7c0f-11eb-bb7a-00155d0001ca 20.500.12556/dkum/585ff692-5daf-456f-9f43-9859e37fb037 https://dk.um.si/Dokument.php?lang=slv&id=122485 http://link.springer.com/10.1007/JHEP06(2017)156 1 https://dk.um.si/Dokument.php?lang=slv&id=122484 Univerza v Mariboru 0 0 0