W = 0 Complex Structure Moduli Stabilization on CM-type K3 $$\times $$ K3 Orbifolds: Arithmetic, Geometry and Particle Physics

Kanno, Keita; Watari, Taizan

doi:10.1007/s00220-022-04533-4

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Jhep06(2024)0461

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2024

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Cited by 3 publications

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“…A recent study of modularity of Calabi-Yau fourfolds in relation to M-Theory flux vacua has appeared in [62]. The closely related arithmetic underlying solutions on quotients of K3 × K3 of CM type was studied in [63,64].…”

Section: Jhep06(2024)046mentioning

confidence: 99%

More on G-flux and general hodge cycles on the Fermat sextic

Braun,

Fortin,

Garcia

et al. 2024

J. High Energ. Phys.

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We study M-Theory solutions with G-flux on the Fermat sextic Calabi-Yau fourfold, focussing on the relationship between the number of stabilized complex structure moduli and the tadpole contribution of the flux. We use two alternative approaches to define the fluxes: algebraic cycles and (appropriately quantized) Griffiths residues. In both cases, we collect evidence for the non-existence of solutions which stabilize all moduli and stay within the tadpole bound.

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Section: Jhep06(2024)046mentioning

confidence: 99%

More on G-flux and general hodge cycles on the Fermat sextic

Braun,

Fortin,

Garcia

et al. 2024

J. High Energ. Phys.

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Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry, and Complex Multiplication

Kidambi,

Okada,

Watari

2024

Fortschritte der Physik

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S. Gukov and C. Vafa proposed a characterization of rational superconformal field theories (SCFTs) in dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore. The idea is refined, and a conjectural statement on necessary and sufficient conditions for such SCFTs to be rational is obtained, which is indeed proven to be true in the case the target space is . In the refined statement, the algebraicity of the geometric data of the target space turns out to be essential, and the Strominger–Yau–Zaslow fibration in the mirror correspondence also plays a vital role.

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Elliptic Fibrations and Involutions on K3 Surfaces

Garbagnati,

Salgado

2024

Association for Women in Mathematics Series

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W = 0 Complex Structure Moduli Stabilization on CM-type K3 $$\times $$ K3 Orbifolds: Arithmetic, Geometry and Particle Physics

Cited by 3 publications

References 62 publications

More on G-flux and general hodge cycles on the Fermat sextic

More on G-flux and general hodge cycles on the Fermat sextic

Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry, and Complex Multiplication

Elliptic Fibrations and Involutions on K3 Surfaces

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