Towards exotic matter and discrete nonabelian symmetries in Ftheory
Abstract
We present a prescription in Ftheory 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 CalabiYau 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 Tbrane deformations to a weakly coupled gauge theory with exotic bifundamentals. We present explicit examples including bifundamental hypermultiplets of e _{7} × su _{2} and e _{6} × su _{3}, each of which have dual heterotic orbifold descriptions. Geometrically, these matter fields are delocalized across multiple points of an Ftheory geometry. Symmetry breaking with such representations can be used to produce high dimension representations of simple gauge groups such as the fourindex symmetric representation of su _{2} and the threeindex symmetric representation of su _{3}, and after further higgsing can yield discrete nonabelian symmetries.
 Authors:

 Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor (Slovenia)
 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:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Volume: 2018; Journal Issue: 11; Journal ID: ISSN 10298479
 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; FTheory; String Duality; Superstrings and Heterotic Strings
Citation Formats
Cvetič, Mirjam, Heckman, Jonathan J., and Lin, Ling. Towards exotic matter and discrete nonabelian symmetries in Ftheory. United States: N. p., 2018.
Web. doi:10.1007/jhep11(2018)001.
Cvetič, Mirjam, Heckman, Jonathan J., & Lin, Ling. Towards exotic matter and discrete nonabelian symmetries in Ftheory. United States. doi:10.1007/jhep11(2018)001.
Cvetič, Mirjam, Heckman, Jonathan J., and Lin, Ling. Mon .
"Towards exotic matter and discrete nonabelian symmetries in Ftheory". United States. doi:10.1007/jhep11(2018)001. https://www.osti.gov/servlets/purl/1612002.
@article{osti_1612002,
title = {Towards exotic matter and discrete nonabelian symmetries in Ftheory},
author = {Cvetič, Mirjam and Heckman, Jonathan J. and Lin, Ling},
abstractNote = {We present a prescription in Ftheory 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 CalabiYau 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 Tbrane 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 Ftheory geometry. Symmetry breaking with such representations can be used to produce high dimension representations of simple gauge groups such as the fourindex symmetric representation of su2 and the threeindex symmetric representation of su3, and after further higgsing can yield discrete nonabelian symmetries.},
doi = {10.1007/jhep11(2018)001},
journal = {Journal of High Energy Physics (Online)},
issn = {10298479},
number = 11,
volume = 2018,
place = {United States},
year = {2018},
month = {11}
}
Web of Science
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