A note on h2,1 of divisors in CY fourfolds. Part I

A bstract In this note, we prove combinatorial formulas for the Hodge number h 2 , 1 of prime toric divisors in an arbitrary toric hypersurface Calabi-Yau fourfold Y 4 . We show that it is possible to find a toric hypersurface Calabi-Yau in which there are more than h 1,1 ( Y 4 ) non-perturbative su...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2022; no. 3; p. 168
Main Author Kim, Manki
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2022
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Combinatorial analysis
Dark energy
Elementary Particles
High energy physics
Hyperspaces
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Superstring Vacua
Flux Compactifications
F-Theory
String Duality
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Summary:A bstract In this note, we prove combinatorial formulas for the Hodge number h 2 , 1 of prime toric divisors in an arbitrary toric hypersurface Calabi-Yau fourfold Y 4 . We show that it is possible to find a toric hypersurface Calabi-Yau in which there are more than h 1,1 ( Y 4 ) non-perturbative superpotential terms with trivial intermediate Jacobian. Hodge numbers of divisors in toric complete intersection Calabi-Yaus are the subjects of the sequel.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2022)168