General U(1) x U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure

Mirjam Cvetič (Avtor), Denis Klevers (Avtor), Hernan Piragua (Avtor), Washington Taylor (Avtor)

Povzetek

We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two. This construction produces broad classes of models with diverse matter spectra, including many that are not realized in earlier F-theory constructions with U(1) x U(1) gauge symmetry. Generic U(1) x U(1) models can be related to a Higgsed non-Abelian model with gauge group SU(2) x SU(2) x SU(3), SU(2)(3) x SU(3), or a subgroup thereof. The nonlocal horizontal divisors of the Mordell-Weil group are replaced with local vertical divisors associated with the Cartan generators of non-Abelian gauge groups from Kodaira singularities. We give a global resolution of codimension two singularities of the Abelian model; we identify the full anomaly free matter content, and match it to the unHiggsed non-Abelian model. The non-Abelian Weierstrass model exhibits a new algebraic description of the singularities in the fibration that results in the first explicit construction of matter in the symmetric representation of SU(3). This matter is realized on double point singularities of the discriminant locus. The construction suggests a generalization to U(1)(k) factors with k > 2, which can be studied by Higgsing theories with larger non-Abelian gauge groups.

Ključne besede

Kvantna logika;Fizika elementarnih delcev;

Podatki

Jezik:	Angleški jezik
Leto izida:	2015
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UM - Univerza v Mariboru
UDK:	530.122.3
COBISS:	86164737
ISSN:	1029-8479
Št. ogledov:	757
Št. prenosov:	342
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	F-teorija;diferencialna geometrija;algebrska geometrija;umeritvena teorija;simetrija;
URN:	URN:SI:UM:
Vrsta dela (COBISS):	Znanstveno delo
Strani:	ǂart. ǂ204
Zvezek:	ǂIssue ǂ11
Čas izdaje:	nov. 2015
DOI:	10.1007/JHEP11(2015)204
ID:	9142964