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

Mirjam Cvetič (Author), Antonella Grassi (Author), Maximilian Poretschkin (Author)

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.

Keywords

discrete symmetries;F-theory;string duality;superstrings;heterotic strings;Kvantna logika;Fizika elementarnih delcev;

Data

Language:	English
Year of publishing:	2017
Typology:	1.01 - Original Scientific Article
Organization:	UM - University of Maribor
UDC:	530.122.3
COBISS:	94081537
ISSN:	1029-8479
Views:	1319
Downloads:	363
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	teorija superstrun;F-teorija;kvantna logika;fizika elementarnih delcev;
URN:	URN:SI:UM:
Type (COBISS):	Scientific work
Pages:	ǂart. ǂ156
Issue:	ǂIssue ǂ6
Chronology:	jun. 2017
DOI:	10.1007/JHEP06(2017)156
ID:	10913243