Flux vacua: a voluminous recount

Miranda C.N. Cheng; Gregory W. Moore; Natalie M. Paquette

doi:10.4310/CNTP.2022.v16.n4.a4

Flux vacua: a voluminous recount

Miranda C.N. Cheng, Gregory W. Moore, Natalie M. Paquette

School of Arts and Sciences, New High Energy Theory Center

Rutgers, The State University

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

Abstract

In this note, we apply mathematical results for the volume of certain symmetric spaces to the problem of counting flux vacua in simple IIB Calabi-Yau compactifications. In particular, we obtain estimates for the number of flux vacua including the geometric factor related to the Calabi-Yau moduli space, in the large flux limit, for the FHSV model and some closely related models. We see that these geometric factors give rise to contributions to the counting formula that are typically not of order one and might potentially affect the counting qualitatively in some cases. We also note, for simple families of Calabi-Yau moduli spaces, an interesting dependence of the moduli space volumes on the dimension of the flux space, which in turn is governed by the Betti numbers of the Calabi-Yaus.

Original language	American English
Pages (from-to)	761-800
Number of pages	40
Journal	Communications in Number Theory and Physics
Volume	16
Issue number	4
DOIs	https://doi.org/10.4310/CNTP.2022.v16.n4.a4
State	Published - 2022

ASJC Scopus subject areas

Algebra and Number Theory
Mathematical Physics
General Physics and Astronomy

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Flux vacua: a voluminous recount

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