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

共 50 条

[41] CONTINUITY OF EXTREMAL TRANSITIONS AND FLOPS FOR CALABI-YAU MANIFOLDS
Rong, Xiaochun
Zhang, Yuguang
JOURNAL OF DIFFERENTIAL GEOMETRY, 2011, 89 (02) : 233 - 269
[42] Fibration structure in toric hypersurface Calabi-Yau threefolds
Huang, Yu-Chien
Taylor, Washington
JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (03)
[43] The Hodge Numbers of Divisors of Calabi-Yau Threefold Hypersurfaces
Braun, Andreas P.
Long, Cody
McAllister, Liam
Stillman, Michael
Sung, Benjamin
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2020, 68 (11-12):
[44] Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds
Kefeng Liu
Wei Xia
Science China(Mathematics), 2019, 62 (01) : 171 - 184
[45] Time reversal and CP invariance in Calabi-Yau compactifications
Boenisch, Kilian
Elmi, Mohamed
Kashani-Poor, Amir-Kian
Klemm, Albrecht
JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (09)
[46] Tropical theta functions and log Calabi-Yau surfaces
Mandel, Travis
SELECTA MATHEMATICA-NEW SERIES, 2016, 22 (03): : 1289 - 1335
[47] Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions
Huang, M. -x.
Klemm, A.
Quackenbush, S.
HOMOLOGICAL MIRROR SYMMETRY: NEW DEVELOPMENTS AND PERSPECTIVES, 2009, 757 : 45 - 102
[48] The hybrid Landau-Ginzburg models of Calabi-Yau complete intersections
Chiodo, Alessandro
Nagel, Jan
TOPOLOGICAL RECURSION AND ITS INFLUENCE IN ANALYSIS, GEOMETRY, AND TOPOLOGY, 2018, 100 : 103 - 117
[49] Quantum K-theory of Calabi-Yau manifolds
Jockers, Hans
Mayr, Peter
JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (11)
[50] SPECIAL LAGRANGIAN SUBMANIFOLDS OF LOG CALABI-YAU MANIFOLDS
Collins, Tristan C.
Jacob, Adam
Lin, Yu-Shen
DUKE MATHEMATICAL JOURNAL, 2021, 170 (07) : 1291 - 1375

← 1 2 3 4 5 →