Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries

Braun, Volker; Cvetič, Mirjam; Donagi, Ron; Poretschkin, Maximilian

doi:10.1007/jhep07(2017)129

Cited by 5 publications

(3 citation statements)

References 30 publications

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“…If (X, X) are mirror pairs in toric hypersurfaces in[23] A(X) = B( X) and B(X) = A( X); however for a possible general counterexamples see[51] 11 In the context of Type IIA strings and M-theory, the presence of A(X) torsion can be shown to be in correspondence to discrete gauge symmetries[50].…”

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confidence: 99%

F-theory on quotient threefolds with (2,0) discrete superconformal matter

Anderson

Grassi

Gray

et al. 2018

J. High Energ. Phys.

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We explore 6-dimensional compactifications of F-theory exhibiting (2, 0) superconformal theories coupled to gravity that include discretely charged superconformal matter. Beginning with F-theory geometries with Abelian gauge fields and superconformal sectors, we provide examples of Higgsing transitions which break the U(1) gauge symmetry to a discrete remnant in which the matter fields are also non-trivially coupled to a (2, 0) SCFT. In the compactification background this corresponds to a geometric transition linking two fibered Calabi-Yau geometries defined over a singular base complex surface. An elliptically fibered Calabi-Yau threefold with non-zero Mordell-Weil rank can be connected to a smooth non-simply connected genus one fibered geometry constructed as a Calabi-Yau quotient. These hyperconifold transitions exhibit multiple fibers in co-dimension 2 over the base.

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confidence: 99%

F-theory on quotient threefolds with (2,0) discrete superconformal matter

Anderson

Grassi

Gray

et al. 2018

J. High Energ. Phys.

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“…Hence one might want to construct higher order discrete symmetries, ideally the Z 6 proton hexality [64] which forbids also other dangerous higher dimensional operators, and is anomaly free. The classification or construction of higher order (possibly non-Abelian [65][66][67]) discrete symmetries base-independently beyond Z 4 [68,69] are unknown yet (see, however, [70] for some recent examples over specific bases) and, hence, a topic of great interest. Once such a classification is available, we hope that a generalization of our work can realize the chiral MSSM with such a discrete symmetry extension.…”

Section: Discussionmentioning

confidence: 99%

An F-theory realization of the chiral MSSM with ℤ2-parity

Cvetič¹,

Lin²,

Liu³

et al. 2018

J. High Energ. Phys.

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Using F-theory we construct 4D N = 1 SUGRA theories with the Standard Model gauge group, three chiral generations, and matter parity in order to forbid all dimension four baryon and lepton number violating operators. The underlying geometries are derived by constructing smooth genus-one fibered Calabi-Yau fourfolds using toric tops that have a Jacobian fibration with rank one Mordell-Weil group and SU (3)×SU (2) singularities. The necessary gauge backgrounds on the smooth fourfolds are shown to be fully compatible with the quantization condition, including positive integer D3-tadpoles. This construction realizes for the first time a consistent UV completion of an MSSM-like model with matter parity in F-theory. Moreover our construction is general enough to also exhibit other relevant Z 2 charge extensions of the MSSM such as lepton and baryon parity. Such models however are rendered inconsistent by non-integer fluxes, which are necessary for producing the exact MSSM chiral spectrum. These inconsistencies turn out to be intimately related to field theory considerations regarding a UV-embedding of the Z 2 into a U (1) and the resulting discrete anomalies.

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“…The latter are of interest in their own right, and also have applications to topological field theory and particle physics. Some work on the stringy realization of discrete non-abelian groups includes [14][15][16][17][18][19] as well as [20] in F-theory. As of this writing there does not appear to be a systematic method to determine whether a particular finite group can appear.…”

Section: Introductionmentioning

confidence: 99%

Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory

Cvetič,

Heckman,

Lin

2018

Preprint

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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 (f, g, ∆) 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 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 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 su 2 and the three-index symmetric representation of su 3 , and after further higgsing can yield discrete non-abelian symmetries.

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Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries

Cited by 5 publications

References 30 publications

F-theory on quotient threefolds with (2,0) discrete superconformal matter

F-theory on quotient threefolds with (2,0) discrete superconformal matter

An F-theory realization of the chiral MSSM with ℤ2-parity

Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory

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