Elliptic genera of Berglund-Hubsch Landau-Ginzburg orbifolds

被引：0
|
作者：
Zhu, Minxian [1 ]
机构：
[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
来源：
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS | 2015年 / 9卷 / 04期
关键词：
MIRROR SYMMETRY; VERTEX ALGEBRAS;
D O I：
10.4310/CNTP.2015.v9.n4.a4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We match the elliptic genus of a Berglund-Hubsch Landau-Ginzburg orbifold with the supertrace of y(J[0]) q(L[0]) on a vertex algebra V-1,V-1. We show that it is a weak Jacobi form and the elliptic genus of one theory is equal (up to a sign) to the elliptic genus of its mirror.
引用
收藏
页码：741 / 761
页数：21
相关论文
共 50 条
  • [21] DIMENSIONALLY REDUCED LANDAU-GINZBURG ORBIFOLDS WITH DISCRETE TORSION
    BERGLUND, P
    PHYSICS LETTERS B, 1993, 319 (1-3) : 117 - 124
  • [22] Defects and bulk perturbations of boundary Landau-Ginzburg orbifolds
    Brunner, Ilka
    Roggenkamp, Daniel
    JOURNAL OF HIGH ENERGY PHYSICS, 2008, (04):
  • [23] GEOMETRY OF (0,2) LANDAU-GINZBURG ORBIFOLDS
    KAWAI, T
    MOHRI, K
    NUCLEAR PHYSICS B, 1994, 425 (1-2) : 191 - 216
  • [24] Landau-Ginzburg orbifolds and symmetries of K3 CFTs
    Miranda C.N. Cheng
    Francesca Ferrari
    Sarah M. Harrison
    Natalie M. Paquette
    Journal of High Energy Physics, 2017
  • [25] Landau-Ginzburg orbifolds and symmetries of K3 CFTs
    Cheng, Miranda C. N.
    Ferrari, Francesca
    Harrison, Sarah M.
    Paquette, Natalie M.
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (01):
  • [26] Correlation functions in massive Landau-Ginzburg orbifolds and tests of dualities
    Gu, Wei
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (12)
  • [27] D-Brane Central Charge and Landau-Ginzburg Orbifolds
    Knapp, Johanna
    Romo, Mauricio
    Scheidegger, Emanuel
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 384 (01) : 609 - 697
  • [28] Correlation functions in massive Landau-Ginzburg orbifolds and tests of dualities
    Wei Gu
    Journal of High Energy Physics, 2020
  • [29] Mirror symmetry of nonabelian Landau-Ginzburg orbifolds with loop type potentials
    Mukai, Daichi
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 159
  • [30] Mirror symmetry on levels of non-abelian Landau-Ginzburg orbifolds
    Ebeling, Wolfgang
    Gusein-Zade, Sabir M.
    JOURNAL OF GEOMETRY AND PHYSICS, 2022, 179
12345