Small flux superpotential in F-theory compactifications

Yoshinori Honma; Hajime Otsuka

doi:10.1103/PhysRevD.103.126022

Small flux superpotential in F-theory compactifications

Yoshinori Honma, Hajime Otsuka

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We investigate whether a class of models describing F-theory compactifications admits a specific type of flux vacua with an exponentially small vacuum expectation value of the superpotential, by generalizing a method recently developed in type IIB flux compactifications. First we clarify that a restricted choice of G4-flux components reduces a general flux superpotential into a simple form, which promotes the existence of supersymmetric vacua with one flat direction at the perturbative level. Then we utilize the techniques of mirror symmetry to determine one-instanton corrections to the potential and investigate in detail the vacuum solutions of a particular model.

Original language	English
Article number	126022
Journal	Physical Review D
Volume	103
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.103.126022
Publication status	Published - Jun 15 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.103.126022

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abstract = "We investigate whether a class of models describing F-theory compactifications admits a specific type of flux vacua with an exponentially small vacuum expectation value of the superpotential, by generalizing a method recently developed in type IIB flux compactifications. First we clarify that a restricted choice of G4-flux components reduces a general flux superpotential into a simple form, which promotes the existence of supersymmetric vacua with one flat direction at the perturbative level. Then we utilize the techniques of mirror symmetry to determine one-instanton corrections to the potential and investigate in detail the vacuum solutions of a particular model. ",

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AU - Otsuka, Hajime

N1 - Funding Information: We would like to thank K. Ohta for useful discussions and comments, and especially to the anonymous referee for a careful reading of the manuscript and constructive suggestions. H. O. was supported in part by JSPS KAKENHI Grants No. JP19J00664 and No. JP20K14477. Publisher Copyright: © 2021 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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N2 - We investigate whether a class of models describing F-theory compactifications admits a specific type of flux vacua with an exponentially small vacuum expectation value of the superpotential, by generalizing a method recently developed in type IIB flux compactifications. First we clarify that a restricted choice of G4-flux components reduces a general flux superpotential into a simple form, which promotes the existence of supersymmetric vacua with one flat direction at the perturbative level. Then we utilize the techniques of mirror symmetry to determine one-instanton corrections to the potential and investigate in detail the vacuum solutions of a particular model.

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Small flux superpotential in F-theory compactifications

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All Science Journal Classification (ASJC) codes

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