Constraints on Meta-stable de Sitter Flux Vacua

Soroush, Masoud

关键词: COMPACTIFICATION;    COSMOLOGICAL CONSTANT;    STABILITY;    SUPERSYMMETRY;    STRING MODELS;    SYMMETRY BREAKING;    AXIONS;    DE SITTER GROUP Theory-HEP;    HEPTH;    MATH;   

DOI  :  10.2172/900605
RP-ID  :  SLAC-PUB-12367
PID  :  OSTI ID: 900605
Others  :  Other: hep-th/0702204
Others  :  TRN: US0702496

学科分类：物理（综合）

美国|英语

来源: SciTech Connect

【 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.