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

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor (Slovenia)
  2. 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

References (59)

String theory and the path to unification: A review of recent developments journal August 1997
Strings on orbifolds journal January 1985
LieART—A Mathematica application for Lie algebras and representation theory journal July 2015
T-branes and geometry journal May 2014
On the geometry of the string landscape and the swampland journal March 2007
Constraints on 6D supergravity theories with abelian gauge symmetry journal January 2012
T-branes and monodromy journal July 2011
T-branes and matrix models journal June 2017
F-theory on singular spaces journal September 2015
T-branes at the limits of geometry journal October 2017
Non-Abelian discrete gauge symmetries in F-theory journal February 2016
Anomaly cancellation and abelian gauge symmetries in F-theory journal February 2013
Tate’s algorithm and F-theory journal August 2011
Matter from geometry journal July 1997
Exotic matter on singular divisors in F-theory journal November 2017
Weierstrass meets Enriques journal February 2010
The heterotic string, the tangent bundle and derived categories journal January 1998
T-branes as branes within branes journal September 2015
Compact T-branes journal September 2017
Non-Abelian discrete groups from the breaking of continuous flavor symmetries journal September 2009
F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds journal October 2012
More on the matter of 6D SCFTs journal July 2015
Dibaryons, branes, and strings in AdS orbifold models journal December 1998
There and back again: a T-brane’s tale journal November 2016
Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries journal July 2017
Strings on orbifolds (II) journal September 1986
Abelian F-theory models with charge-3 and charge-4 matter journal May 2018
Evidence for F-theory journal June 1996
Origin of family symmetries journal October 2012
Compactifications of F-theory on Calabi-Yau threefolds. (I) journal August 1996
Compactifications of F-theory on Calabi-Yau threefolds (II) journal September 1996
Mapping 6D $ \mathcal{N} = 1 $ supergravities to F-theory journal February 2010
Global aspects of the space of 6D $ \mathcal{N} = 1 $ supergravities journal November 2010
The global gauge group structure of F-theory compactification with U(1)s journal January 2018
Stringy origin of non-Abelian discrete flavor symmetries journal April 2007
Non-Abelian discrete gauge symmetries in 4d string models journal September 2012
Z p charged branes in flux compactifications journal April 2013
Simple Non-Abelian Finite Flavor Groups and Fermion Masses journal December 1995
Merging heterotic orbifolds and K3 compactifications with line bundles journal January 2007
F-theory duals of singular heterotic K3 models journal January 2015
General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure journal November 2015
Three-index symmetric matter representations of SU(2) in F-theory from non-Tate form Weierstrass models journal June 2016
Colliding singularities in F-theory and phase transitions journal March 1997
Point-like instantons on K3 orbifolds journal October 1997
On the classification of 6D SCFTs and generalized ADE orbifolds journal May 2014
6D SCFTs and gravity journal June 2015
F-theory on quotient threefolds with (2,0) discrete superconformal matter journal June 2018
6d Conformal matter journal February 2015
Atomic classification of 6D SCFTs: Atomic classification of 6D SCFTs journal June 2015
Spontaneous breaking of SU(3) to finite family symmetries — a pedestrian’s approach journal March 2011
Geometric singularities and enhanced gauge symmetries journal December 1996
Classifying bases for 6D F-theory models journal January 2012
Generalized Green-Schwarz mechanism in F theory journal November 1996
F-theory and N $$ \mathcal{N} $$ = 1 SCFTs in four dimensions journal August 2016
F-theory at constant coupling journal September 1996
Abelian gauge symmetries and proton decay in global F -theory GUTs journal October 2010
U(1) symmetries in F-theory GUTs with multiple sections journal March 2013
More on the Matter of 6D SCFTs preprint January 2014
The Heterotic String, the Tangent Bundle, and Derived Categories text January 1998

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High U(1) charges in type IIB models and their F-theory lift 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