Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons

被引：7
|
作者：
Yang, Hyun Seok [1 ]
机构：
[1] Korea Inst Adv Study, Sch Phys, Seoul 130722, South Korea
来源：
PHYSICAL REVIEW D | 2015年 / 91卷 / 10期
基金：
新加坡国家研究基金会;
关键词：
QUANTUM-GRAVITY; STRING THEORY; GAUGE-THEORY; EINSTEIN; GEOMETRY; MODEL;
D O I：
10.1103/PhysRevD.91.104002
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We show that Calabi-Yau manifolds are emergent from the commutative limit of six-dimensional noncommutative Hermitian U(1) instantons. Therefore, we argue that the noncommutative Hermitian U(1) instantons correspond to quantized Calabi-Yau manifolds.
引用
收藏
页数：13
相关论文
共 50 条
  • [41] Crystal Melting and Toric Calabi-Yau Manifolds
    Hirosi Ooguri
    Masahito Yamazaki
    [J]. Communications in Mathematical Physics, 2009, 292 : 179 - 199
  • [42] COLLAPSING OF ABELIAN FIBERED CALABI-YAU MANIFOLDS
    Gross, Mark
    Tosatti, Valentino
    Zhang, Yuguang
    [J]. DUKE MATHEMATICAL JOURNAL, 2013, 162 (03) : 517 - 551
  • [43] Non-Kahler Calabi-Yau Manifolds
    Tseng, Li-Sheng
    Yau, Shing-Tung
    [J]. STRING-MATH 2011, 2012, 85 : 241 - +
  • [44] GENERALIZED SPACETIME DUALITY IN CALABI-YAU MANIFOLDS
    CVETIC, M
    MOLERA, JM
    OVRUT, BA
    [J]. PHYSICS LETTERS B, 1990, 248 (1-2) : 83 - 88
  • [45] Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
    McKay, Benjamin
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2011, 7
  • [46] Crystal Melting and Toric Calabi-Yau Manifolds
    Ooguri, Hirosi
    Yamazaki, Masahito
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 292 (01) : 179 - 199
  • [47] Calabi-Yau manifolds with isolated conical singularities
    Hein, Hans-Joachim
    Sun, Song
    [J]. PUBLICATIONS MATHEMATIQUES DE L IHES, 2017, 126 (01): : 73 - 130
  • [48] CLASSIFICATION OF ASYMPTOTICALLY CONICAL CALABI-YAU MANIFOLDS
    Conlon, Ronan j.
    Hein, Hans-joachim
    [J]. DUKE MATHEMATICAL JOURNAL, 2024, 173 (01) : 947 - 1015
  • [49] Frobenius map on local Calabi-Yau manifolds
    Shapiro, I.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (02)
  • [50] D-Branes on Calabi-Yau manifolds
    Douglas, MR
    [J]. EUROPEAN CONGRESS OF MATHEMATICS, VOL II, 2001, 202 : 449 - 466
12345