On the Higgsing and UnHiggsing of Fano 3-folds

被引:2
|
作者
Phukon, Prabwal [1 ]
Sarkar, Tapobrata [1 ]
机构
[1] Indian Inst Technol, Dept Phys, Kanpur 208016, Uttar Pradesh, India
来源
关键词
M-Theory; D-branes; AdS-CFT Correspondence;
D O I
10.1007/JHEP01(2012)090
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
We study the Higgsing and UnHiggsing of M2-brane theories that probe cones over smooth toric Fano 3-folds, via brane tilings. We find many new examples of M2-brane gauge theories not studied previously in the literature, including those that do not correspond to cones over Fano varieties. Our analysis also provides, upon unHiggsing the known Fano varieties, new examples of quiver gauge theories that describe the same toric variety, but with external point multiplicities. As a byproduct of our results, we discuss an example of a CY 4-fold that does not have a tiling description, and study the Higgsing of this theory.
引用
收藏
页数:35
相关论文
共 50 条
  • [31] Compactifications of contractible affine 3-folds into smooth Fano 3-folds with B2=2
    Takashi Kishimoto
    [J]. Mathematische Zeitschrift, 2005, 251 : 783 - 820
  • [32] M2-branes and Fano 3-folds
    Davey, John
    Hanany, Amihay
    Mekareeya, Noppadol
    Torri, Giuseppe
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (40)
  • [33] GENERAL ELEPHANTS OF Q-FANO 3-FOLDS
    ALEXEEV, V
    [J]. COMPOSITIO MATHEMATICA, 1994, 91 (01) : 91 - 116
  • [34] Deformations of weak Q-Fano 3-folds
    Sano, Taro
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2018, 29 (07)
  • [35] Boundedness of canonical Q-Fano 3-folds
    Kollár, J
    Miyaoka, Y
    Mori, S
    Takagi, H
    [J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2000, 76 (05) : 73 - 77
  • [36] Deforming elephants of Q-Fano 3-folds
    Sano, Taro
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2017, 95 : 23 - 51
  • [37] Terminal toric Fano 3-folds with numerical conditions
    Sato, Hiroshi
    Sumiyoshi, Ryota
    [J]. KYOTO JOURNAL OF MATHEMATICS, 2022, 62 (01) : 163 - 178
  • [38] Fano 3-folds and double covers by half elephants
    Campo, Livia
    [J]. EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (04)
  • [39] A note on the Picard number of singular Fano 3-folds
    Gloria Della Noce
    [J]. Geometriae Dedicata, 2014, 170 : 403 - 408
  • [40] Foliations with trivial canonical bundle on Fano 3-folds
    Loray, Frank
    Pereira, Jorge Vitorio
    Touzet, Frederic
    [J]. MATHEMATISCHE NACHRICHTEN, 2013, 286 (8-9) : 921 - 940