Hierarchical structure of physical Yukawa couplings from matter field Kähler metric

Ishiguro, Keiya; Kobayashi, Tatsuo; Otsuka, Hajime

doi:10.1007/jhep07(2021)064

Cited by 6 publications

(3 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…19 These Yukawa couplings are of phenomenological interest in the context of heterotic string with standard embedding as recently discussed in ref. [48].…”

Section: A Notation Of the Special Geometrymentioning

confidence: 99%

Sharpening the boundaries between flux landscape and swampland by tadpole charge

Ishiguro

Otsuka

2021

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We investigate the vacuum structure of four-dimensional effective theory arising from Type IIB flux compactifications on a mirror of the rigid Calabi-Yau threefold, corresponding to a T-dual of the DeWolfe-Giryavets-Kachru-Taylor model in Type IIA flux compactifications. By analyzing the vacuum structure of this interesting corner of string landscape, it turns out that there exist perturbatively unstable de Sitter (dS) vacua in addition to supersymmetric and non-supersymmetric anti-de Sitter vacua. On the other hand, the stable dS vacua appearing in the low-energy effective action violate the tadpole cancellation condition, indicating a strong correlation between the existence of dS vacua and the flux-induced D3-brane charge (tadpole charge). We also find analytically that the tadpole charge constrained by the tadpole cancellation condition emerges in the scalar potential in a nontrivial way. Thus, the tadpole charge would restrict the existence of stable dS vacua, and this fact underlies the statement of the dS conjecture. Furthermore, our analytical and numerical results exhibit that distributions of $$ \mathcal{O}(1) $$ O 1 parameters in expressions of several swampland conjectures peak at specific values.

show abstract

“…19 These Yukawa couplings are of phenomenological interest in the context of heterotic string with standard embedding as recently discussed in ref. [48].…”

Section: A Notation Of the Special Geometrymentioning

confidence: 99%

Sharpening the boundaries between flux landscape and swampland by tadpole charge

Ishiguro

Otsuka

2021

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Both of these are essential if one wants to make contact with the many constructions of the so-called heterotic Standard Model [45][46][47][48][49][50][51][52][53][54][55][56][57]. These advances, together with numerical metrics and Laplacians [58][59][60], and results for the matterfield Kähler potential [61][62][63][64], should enable real progress on computing masses and couplings in top-down string models. We will discuss these issues in future publications.…”

Section: Introductionmentioning

confidence: 99%

Machine Learning Line Bundle Connections

Ashmore,

Deen,

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…The kinetic mixing of matter fields will play an important role of realizing the hierarchical structure of matter fields[68].…”

mentioning

confidence: 99%

Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries

Ishiguro

Kobayashi

Otsuka

2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We examine a common origin of four-dimensional flavor, CP, and U(1)R symmetries in the context of heterotic string theory with standard embedding. We find that flavor and U(1)R symmetries are unified into the Sp(2h + 2, ℂ) modular symmetries of Calabi-Yau threefolds with h being the number of moduli fields. Together with the $$ {\mathbb{Z}}_2^{\mathrm{CP}} $$ ℤ 2 CP CP symmetry, they are enhanced to GSp(2h + 2, ℂ) ≃ Sp(2h + 2, ℂ) ⋊ $$ {\mathbb{Z}}_2^{\mathrm{CP}} $$ ℤ 2 CP generalized symplectic modular symmetry. We exemplify the S3, S4, T′, S9 non-Abelian flavor symmetries on explicit toroidal orbifolds with and without resolutions and ℤ2, S4 flavor symmetries on three-parameter examples of Calabi-Yau threefolds. Thus, non-trivial flavor symmetries appear in not only the exact orbifold limit but also a certain class of Calabi-Yau three-folds. These flavor symmetries are further enlarged to non-Abelian discrete groups by the CP symmetry.

show abstract

Hierarchical structure of physical Yukawa couplings from matter field Kähler metric

Cited by 6 publications

References 44 publications

Sharpening the boundaries between flux landscape and swampland by tadpole charge

Sharpening the boundaries between flux landscape and swampland by tadpole charge

Machine Learning Line Bundle Connections

Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries

Contact Info

Product

Resources

About