Constraints on Meta-stable de Sitter Flux Vacua

Soroush, Masoud

Stanford Linear Accelerator Center

关键词: De Sitter Group Theory-Hep,Hepth, Math;    Theory-Hep,Hepth, Math;    String Models;    Compactification;    Cosmological Constant;   

DOI  :  10.2172/900605
RP-ID  :  SLAC-PUB-12367
RP-ID  :  AC02-76SF00515
RP-ID  :  900605

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来源: UNT Digital Library

【 摘 要 】

We consider flux compactification of type IIB string theory as the orientifold limit of an F-theory on a Calabi-Yau fourfold. We show that when supersymmetry is dominantly broken by the axion-dilaton and the contributions of the F-terms associated with complex structure moduli are small, the Hessian of the flux potential always has tachyonic modes for de Sitter vacua. This implies that there exist no meta-stable de Sitter vacua in this limit. Moreover, we find that the stability requirement imposes a relation between the values of cosmological constant and the scale of supersymmetry breaking for non-supersymmetric anti de Sitter vacua in this limit. The proof is general and does rely on the details of the geometry of the compact Calabi-Yau internal space. We finally analyze the consequences of these constraints on the statistics of meta-stable de Sitter vacua and address some other related issues.