Distributions of nonsupersymmetric flux vacua

Abstract

We continue the study of the distribution of nonsupersymmetric flux vacua in IIb string theory compactified on Calabi-Yau manifolds, as in hep-th/0404116. We show that the basic structure of this problem is that of finding eigenvectors of the matrix of second derivatives of the superpotential, and that many features of the results are determined by features of the generic ensemble of such matrices, the CI ensemble of Altland and Zirnbauer originating in mesoscopic physics. We study some simple examples in detail, exhibiting various factors which can favor low or high scale supersymmetry breaking.

28 pages, JHEP Latex format. v2: a correction further favoring high scale, v3: minor clarifications

References in corpus (13)

• Aspects of Split Supersymmetry
• Split Supersymmetry
• The Statistics of Supersymmetric D-brane Models
• Enumerating Flux Vacua with Enhanced Symmetries
• Basic results in Vacuum Statistics
• On the Explicit Construction and Statistics of Calabi-Yau Flux Vacua
• Low Energy Supersymmetry From the Landscape
• Supersymmetry Breaking in the Anthropic Landscape
• Large Hierarchies from Attractor Vacua
• Statistical analysis of the supersymmetry breaking scale
• Branches of the Landscape
• Landscape Cartography: A Coarse Survey of Gauge Group Rank and Stabilization of the Proton
• Statistics of String vacua

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