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

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

Povzetek

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.

Ključne besede

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

Podatki

Jezik:	Angleški jezik
Leto izida:	2017
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UM - Univerza v Mariboru
UDK:	530.122.3
COBISS:	94081537
ISSN:	1029-8479
Št. ogledov:	1319
Št. prenosov:	363
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	teorija superstrun;F-teorija;kvantna logika;fizika elementarnih delcev;
URN:	URN:SI:UM:
Vrsta dela (COBISS):	Znanstveno delo
Strani:	ǂart. ǂ156
Zvezek:	ǂIssue ǂ6
Čas izdaje:	jun. 2017
DOI:	10.1007/JHEP06(2017)156
ID:	10913243