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Spinor-vector duality in fermionic Z2XZ2 heterotic orbifold models

Faraggi, Alon E.; Kounnas, Costas and Rizos, John (2007) Spinor-vector duality in fermionic Z2XZ2 heterotic orbifold models. Nuclear Physics B, 774 (1-3). pp. 208-231. ISSN 0550-3213

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Official URL: http://www.elsevier.com/wps/find/journaldescriptio...

Abstract

We continue the classification of the fermionic Z2XZ2 heterotic string vacua with symmetric internal shifts. The space of models is spanned by working with a fixed set of boundary condition basis vectors and by varying the sets of independent Generalized GSO (GGSO) projection coefficients (discrete torsion). This includes the Calabi-Yau like compactifications with (2,2) world-sheet superconformal symmetry, as well as more general vacua with only (2,0) superconformal symmetry. In contrast to our earlier classification that utilized a montecarlo technique to generate random sets of GGSO phases, in this paper we present the results of a complete classification of the subclass of the models in which the four dimensional gauge group arises solely from the null sector. In line with the results of the statistical classification we find a bell shaped distribution that peaks at vanishing net number of generations and with ~15% of the models having three net chiral families. The complete classification reveals a novel spinor-vector duality symmetry over the entire space of vacua. The S <-> V duality interchanges the spinor plus anti-spinor representations with vector representations. We present the data that demonstrates the spinor-vector duality. We illustrate the existence of a duality map in a concrete example. We provide a general algebraic proof for the existence of the S <-> V duality map. We discuss the case of self-dual solutions with an equal number of vectors and spinors, in the presence and absence of E6 gauge symmetry, and present a couple of concrete examples of self-dual models without E6 symmetry.

Item Type:Article
Additional Information:LTH 715; arXiv Number: arXiv:hep-th/0611251v1. Issue date: 9 July 2007. Available online 9 April 2007.
Uncontrolled Keywords:STANDARD-LIKE MODEL; YAU MODULI SPACE; STRING FORMULATION; CLASSIFICATION; SUPERSTRINGS; UNIFICATION; N=2
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1016/j.nuclphysb.2007.03.029
Related URLs:
Refereed:No
Status:Published
ID Code:134
Deposited On:08 Aug 2008 14:45
Last Modified:20 May 2011 19:14

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