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Title: Tadpole conjecture in non-geometric backgrounds
A<sc>bstract</sc> Calabi-Yau compactifications have typically a large number of complex structure and/or Kähler moduli that have to be stabilised in phenomenologically-relevant vacua. The former can in principle be done by fluxes in type IIB solutions. However, the tadpole conjecture proposes that the number of stabilised moduli can at most grow linearly with the tadpole charge of the fluxes required for stabilisation. We scrutinise this conjecture in the 26Gepner model: a non-geometric background mirror dual to a rigid Calabi-Yau manifold, in the deep interior of moduli space. By constructing an extensive set of supersymmetric Minkowski flux solutions, we spectacularly confirm the linear growth, while achieving a slightly higher ratio of stabilised moduli to flux charge than the conjectured upper bound. As a byproduct, we obtain for the first time a set of solutions within the tadpole bound where all complex structure moduli are massive. Since the 26model has no Kähler moduli, these show that the massless Minkowski conjecture does not hold beyond supergravity.  more » « less
Award ID(s):
2112859
PAR ID:
10650563
Author(s) / Creator(s):
; ; ; ; ;
Publisher / Repository:
JHEP
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2024
Issue:
10
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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