Restrictions on infinite sequences of type IIB vacua

Abstract

Ashok and Douglas have shown that infinite sequences of type IIB flux vacua with imaginary self-dual flux can only occur in so-called D-limits, corresponding to singular points in complex structure moduli space. In this work we refine this no-go result by demonstrating that there are no infinite sequences accumulating to the large complex structure point of a certain class of one-parameter Calabi-Yau manifolds. We perform a similar analysis for conifold points and for the decoupling limit, obtaining identical results. Furthermore, we establish the absence of infinite sequences in a D-limit corresponding to the large complex structure limit of a two-parameter Calabi-Yau. In particular, our results demonstrate analytically that the series of vacua recently discovered by Ahlqvist et al., seemingly accumulating to the large complex structure point, are finite. We perform a numerical study of these series close to the large complex structure point using appropriate approximations for the period functions. This analysis reveals that the series bounce out from the large complex structure point, and that the flux eventually ceases to be imaginary self-dual. Finally, we study D-limits for F-theory compactifications on K3\times K3 for which the finiteness of supersymmetric vacua is already established. We do find infinite sequences of flux vacua which are, however, identified by automorphisms of K3.

35 pages. v2. Typos corrected, ref. added. Matches published version

References in corpus (7)

• Flux Compactification
• First Observational Tests of Eternal Inflation
• Fixing D7 Brane Positions by F-Theory Fluxes
• Conifolds and Tunneling in the String Landscape
• Chain inflation and the imprint of fundamental physics in the CMBR
• Stability of flux vacua in the presence of charged black holes
• Deforming, revolving and resolving - New paths in the string theory landscape

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• Universal Properties of Type IIB and F-theory Flux Compactifications at Large Complex Structure
• The Spectra of Type IIB Flux Compactifications at Large Complex Structure
• Towards a complete mass spectrum of type-IIB flux vacua at large complex structure
• Flux Compactifications on $(S_2{)}^N$
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme