Towards exotic matter and discrete non-abelian symmetries in F-theory
- Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor (Slovenia)
- Univ. of Pennsylvania, Philadelphia, PA (United States)
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.
- Research Organization:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- SC0013528
- OSTI ID:
- 1612002
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2018, Issue 11; ISSN 1029-8479
- Publisher:
- Springer BerlinCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Nilpotent networks and 4D RG flows
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journal | May 2019 |
High U(1) charges in type IIB models and their F-theory lift
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journal | April 2019 |
Fission, Fusion, and 6D RG Flows | text | January 2018 |
Nilpotent Networks and 4D RG Flows | text | January 2018 |
High U(1) charges in type IIB models and their F-theory lift | preprint | January 2018 |
The two faces of T-branes | text | January 2019 |
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