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Title: Towards exotic matter and discrete non-abelian symmetries in F-theory

Abstract

We present a prescription in F-theory for realizing matter in “exotic” representations of product gauge groups. For 6D vacua, bifundamental hypermultiplets are engineered by starting at a singular point in moduli space which includes 6D superconformal field theories coupled to gravity. A deformation in Higgs branch moduli space takes us to a weakly coupled gauge theory description. In the corresponding elliptically fibered Calabi-Yau threefold, the minimal Weierstrass model parameters (ƒ, g, Δ) vanish at collisions of the discriminant at least to order (4, 6, 12), but with sufficiently high order of tangency to ensure the existence of T-brane deformations to a weakly coupled gauge theory with exotic bifundamentals. We present explicit examples including bifundamental hypermultiplets of e7 × su2 and e6 × su3, each of which have dual heterotic orbifold descriptions. Geometrically, these matter fields are delocalized across multiple points of an F-theory geometry. Symmetry breaking with such representations can be used to produce high dimension representations of simple gauge groups such as the four-index symmetric representation of su2 and the three-index symmetric representation of su3, and after further higgsing can yield discrete non-abelian symmetries.

Authors:
 [1];  [2];  [2]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor (Slovenia)
  2. Univ. of Pennsylvania, Philadelphia, PA (United States)
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1612002
Grant/Contract Number:  
SC0013528
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; F-Theory; String Duality; Superstrings and Heterotic Strings

Citation Formats

Cvetič, Mirjam, Heckman, Jonathan J., and Lin, Ling. Towards exotic matter and discrete non-abelian symmetries in F-theory. United States: N. p., 2018. Web. doi:10.1007/jhep11(2018)001.
Cvetič, Mirjam, Heckman, Jonathan J., & Lin, Ling. Towards exotic matter and discrete non-abelian symmetries in F-theory. United States. doi:10.1007/jhep11(2018)001.
Cvetič, Mirjam, Heckman, Jonathan J., and Lin, Ling. Mon . "Towards exotic matter and discrete non-abelian symmetries in F-theory". United States. doi:10.1007/jhep11(2018)001. https://www.osti.gov/servlets/purl/1612002.
@article{osti_1612002,
title = {Towards exotic matter and discrete non-abelian symmetries in F-theory},
author = {Cvetič, Mirjam and Heckman, Jonathan J. and Lin, Ling},
abstractNote = {We present a prescription in F-theory for realizing matter in “exotic” representations of product gauge groups. For 6D vacua, bifundamental hypermultiplets are engineered by starting at a singular point in moduli space which includes 6D superconformal field theories coupled to gravity. A deformation in Higgs branch moduli space takes us to a weakly coupled gauge theory description. In the corresponding elliptically fibered Calabi-Yau threefold, the minimal Weierstrass model parameters (ƒ, g, Δ) vanish at collisions of the discriminant at least to order (4, 6, 12), but with sufficiently high order of tangency to ensure the existence of T-brane deformations to a weakly coupled gauge theory with exotic bifundamentals. We present explicit examples including bifundamental hypermultiplets of e7 × su2 and e6 × su3, each of which have dual heterotic orbifold descriptions. Geometrically, these matter fields are delocalized across multiple points of an F-theory geometry. Symmetry breaking with such representations can be used to produce high dimension representations of simple gauge groups such as the four-index symmetric representation of su2 and the three-index symmetric representation of su3, and after further higgsing can yield discrete non-abelian symmetries.},
doi = {10.1007/jhep11(2018)001},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2018,
place = {United States},
year = {2018},
month = {11}
}

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