光滑紧致三维环面簇上的通量紧化
Flux compactification on smooth, compact three-dimensional toric varieties
摘要：
三维光滑紧致环面簇（SCTV），当被看作是真正的六维流形时，可以承认G-结构，使它们适合于超对称通量紧化中的内部流形。我们开发的技术，使我们能够系统地构建G-结构的SCTV和读出他们的扭转类。我们用明确的例子来说明我们的方法，其中之一是由一个无限类的环面CP^1丛。我们给出了一个自包含的审查有关概念，从复曲面几何，特别是主题的分类SCTV的尺寸小于或等于3。我们的结果为基于SCTV系统地构造和研究超对称通量真空提供了可能。
英文摘要：
Three-dimensional smooth, compact toric varieties (SCTV), when viewed as real six-dimensional manifolds, can admit G-structures rendering them suitable for internal manifolds in supersymmetric flux compactifications. We develop techniques which allow us to systematically construct G-structures on SCTV and read off their torsion classes. We illustrate our methods with explicit examples, one of which consists of an infinite class of toric CP^1 bundles. We give a self-contained review of the relevant concepts from toric geometry, in particular the subject of the classification of SCTV in dimensions less or equal to 3. Our results open up the possibility for a systematic construction and study of supersymmetric flux vacua based on SCTV.
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