Calabi-Yau Volumes and Reflexive Polytopes

被引：15

作者：

He, Yang-Hui ^{[1
,2
,3
]}

Seong, Rak-Kyeong ^{[4
]}

Yau, Shing-Tung ^{[5
]}

机构：

[1] Univ Oxford, Merton Coll, Oxford OX1 4JD, England

[2] City Univ London, Dept Math, London EC1V 0HB, England

[3] Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China

[4] Uppsala Univ, Dept Phys & Astron, Angstrom Lab, Box 516, S-75120 Uppsala, Sweden

[5] Harvard Univ, Dept Math, Jefferson Phys Lab, Ctr Math Sci & Applicat, Cambridge, MA 02138 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2018年 / 361卷 / 01期

基金：

英国科学技术设施理事会;

关键词：

SASAKI-EINSTEIN MANIFOLDS; MIRROR SYMMETRY; TORIC GEOMETRY; A-MAXIMIZATION; GAUGE-THEORIES; CLASSIFICATION; SINGULARITIES;

D O I：

10.1007/s00220-018-3128-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study various geometrical quantities for Calabi-Yau varieties realized as cones over Gorenstein Fano varieties, obtained as toric varieties from reflexive polytopes in various dimensions. Focus is made on reflexive polytopes up to dimension 4 and the minimized volumes of the Sasaki-Einstein base of the corresponding Calabi-Yau cone are calculated. By doing so, we conjecture new bounds for the Sasaki-Einstein volume with respect to various topological quantities of the corresponding toric varieties. We give interpretations about these volume bounds in the context of associated field theories via the AdS/CFT correspondence.

引用

页码：155 / 204

页数：50

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