Tops as building blocks for G2 manifolds

被引：20
|
作者：
Braun, Andreas P. [1 ]
机构：
[1] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, 1 Keble Rd, Oxford OX1 3NP, England
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 10期
基金：
英国工程与自然科学研究理事会; 美国国家科学基金会;
关键词：
Differential and Algebraic Geometry; M-Theory; Superstring Vacua; K3; FIBRATIONS; FANO; 3-FOLDS; II VACUA; F-THEORY; POLYHEDRA; SURFACES; HOLONOMY; DUALITY; COMPACTIFICATIONS; G(2)-MANIFOLDS;
D O I：
10.1007/JHEP10(2017)083
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
A large number of examples of compact G(2) manifolds, relevant to supersymmetric compactifications of M-Theory to four dimensions, can be constructed by forming a twisted connected sum of two building blocks times a circle. These building blocks, which are appropriate K3-fibred threefolds, are shown to have a natural and elegant construction in terms of tops, which parallels the construction of Calabi-Yau manifolds via reflexive polytopes. In particular, this enables us to prove combinatorial formulas for the Hodge numbers and other relevant topological data.
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页数：46
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