A note on h$^{2,1}$ of divisors in CY fourfolds. Part I

Kim, Manki

doi:10.1007/JHEP03(2022)168

A note on h $^{2,1}$ of divisors in CY fourfolds. Part I

Manki Kim
(
- Cornell U., LNS and
- MIT, Cambridge, CTP
)

Jul 20, 2021

Published in:

JHEP 03 (2022) 168

Published: Mar 25, 2022

e-Print:

2107.09779 [hep-th]

DOI:

10.1007/JHEP03(2022)168

View in:

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Abstract: (Springer)

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.

Note:

v2. References added

F-Theory
Flux Compactifications
String Duality
Superstring Vacua
superpotential: nonperturbative
Calabi-Yau

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A note on h2,1^{2,1}2,1 of divisors in CY fourfolds. Part I

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A note on h $^{2,1}$ of divisors in CY fourfolds. Part I