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

页码：741 / 761

页数：21

共 50 条

[41] Topological, Landau-Ginzburg models
Vafa, C.
Proceedings of the Summer School in High Energy Physics and Cosmology, 1992,
[42] LANDAU-GINZBURG STRING VACUA
KLEMM, A
SCHIMMRIGK, R
NUCLEAR PHYSICS B, 1994, 411 (2-3) : 559 - 583
[43] Small Landau-Ginzburg theories
Gholson, Sean M.
Melnikov, Ilarion V.
JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (04)
[44] TOPOLOGICAL LANDAU-GINZBURG MODELS
VAFA, C
MODERN PHYSICS LETTERS A, 1991, 6 (04) : 337 - 346
[45] Toric Landau-Ginzburg models
Przyjalkowski, V. V.
RUSSIAN MATHEMATICAL SURVEYS, 2018, 73 (06) : 1033 - 1118
[46] DUALITY AND LANDAU-GINZBURG MODELS
CHUN, EJ
MAS, J
LAUER, J
NILLES, HP
PHYSICS LETTERS B, 1989, 233 (1-2) : 141 - 146
[47] A combinatorial calculation of the Landau-Ginzburg model
Nadler, David
SELECTA MATHEMATICA-NEW SERIES, 2017, 23 (01): : 519 - 532
[48] Supersymmetric Landau-Ginzburg tensor models
Chang, Chi-Ming
Colin-Ellerin, Sean
Rangamani, Mukund
JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (11)
[49] Extending Landau-Ginzburg Models to the Point
Carqueville, Nils
Montoya, Flavio Montiel
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 379 (03) : 955 - 977
[50] On Landau-Ginzburg models for Fano varieties
Przyjalkowski, Victor
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2007, 1 (04) : 713 - 728

← 1 2 3 4 5 →