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Title: General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor, Maribor (Slovenia)
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
  3. Univ. of Pennsylvania, Philadelphia, PA (United States)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
+ Show Author Affiliations

We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two. This construction produces broad classes of models with diverse matter spectra, including many that are not realized in earlier F-theory constructions with U(1)×U(1) gauge symmetry. Generic U(1)×U(1) models can be related to a Higgsed non-Abelian model with gauge group SU(2)×SU(2)×SU(3), SU(2)3×SU(3), or a subgroup thereof. The nonlocal horizontal divisors of the Mordell-Weil group are replaced with local vertical divisors associated with the Cartan generators of non-Abelian gauge groups from Kodaira singularities. We give a global resolution of codimension two singularities of the Abelian model; we identify the full anomaly free matter content, and match it to the unHiggsed non-Abelian model. The non-Abelian Weierstrass model exhibits a new algebraic description of the singularities in the fibration that results in the first explicit construction of matter in the symmetric representation of SU(3). This matter is realized on double point singularities of the discriminant locus. In conclusion, the construction suggests a generalization to U(1) k factors with k > 2, which can be studied by Higgsing theories with larger non-Abelian gauge groups.

Research Organization:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0013528
OSTI ID:
1436880
Journal Information:
Journal of High Energy Physics (Online), Vol. 2015, Issue 11; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 42 works
Citation information provided by
Web of Science

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Generalized Green-Schwarz mechanism in F theory journal November 1996
ℙ 1 $$ {\mathrm{\mathbb{P}}}^1 $$ -bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models journal September 2015
Global aspects of the space of 6D $ \mathcal{N} = 1 $ supergravities journal November 2010
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Charge Lattices and Consistency of 6D Supergravity text January 2011
Small resolutions of SU(5)-models in F-theory preprint January 2011
Anomalies and the Euler characteristic of elliptic Calabi-Yau threefolds preprint January 2011
Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry text January 2011
Anomaly Equations and Intersection Theory text January 2011
Gauge Fluxes in F-theory and Type IIB Orientifolds text January 2012
U(1) symmetries in F-theory GUTs with multiple sections text January 2012
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Rational F-Theory GUTs without exotics text January 2014
Physics of F-theory compactifications without section text January 2014
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Non-Higgsable clusters for 4D F-theory models text January 2014
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Cited By (4)

An infinite swampland of U(1) charge spectra in 6D supergravity theories journal June 2018
Tall sections from non-minimal transformations text January 2016
An infinite swampland of U(1) charge spectra in 6D supergravity theories text January 2018
Swampland Bounds on the Abelian Gauge Sector text January 2019

Figures / Tables (16)

Figure 1(p. 9)figure Figure 1
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Figure 4(p. 14)figure Figure 4
Figure 5(p. 16)figure Figure 5
Figure 6(p. 22)figure Figure 6
Table 1(p. 23)table Table 1
Table 2(p. 29)table Table 2
Table 3(p. 31)table Table 3
Figure 7(p. 32)figure Figure 7
Figure 8(p. 33)figure Figure 8
Figure 9(p. 35)figure Figure 9
Table 4(p. 42)table Table 4
Table 5(p. 43)table Table 5
Table 6(p. 44)table Table 6
Figure 10(p. 46)figure Figure 10

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
F-Theory
Differential and Algebraic Geometry
Gauge Symmetry