Modularity in orbifold theory for vertex operator superalgebras

DOI10.1007/s00220-005-1418-2zbMath1133.17016arXivmath/0411524OpenAlexW3098563380MaRDI QIDQ818621

Chongying Dong, Zhongping Zhao

Publication date: 21 March 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411524

zbMATH Keywords

orbifoldtrace function

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (29)

Derived equivalences of K3 surfaces and twined elliptic genera ⋮ A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ \(G\)-twisted associative algebras of vertex operator superalgebras ⋮ Three equivalent rationalities of vertex operator superalgebras ⋮ Super orbifold theory ⋮ The umbral moonshine module for the unique unimodular Niemeier root system ⋮ Modular invariance for twisted modules over a vertex operator superalgebra ⋮ Representations of vertex operator superalgebras over an arbitrary field ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ Rationality of affine vertex operator superalgebras with rational conformal weights ⋮ Associative algebras of \(\mathbb{Z}\)-graded vertex operator superalgebras and their applications ⋮ Self-dual vertex operator superalgebras and superconformal field theory ⋮ Genus two partition and correlation functions for fermionic vertex operator superalgebras. I. ⋮ Regularity of vertex operator superalgebras ⋮ Modularity of \(n\)-point functions and theta functions for vertex operator superalgebras ⋮ Ordered spanning sets for quasimodules for Möbius vertex algebras ⋮ Vertex operator superalgebras and the 16-fold way ⋮ Conformal field theories with sporadic group symmetry ⋮ Spanning sets for Möbius vertex algebras satisfying arbitrary difference conditions ⋮ PERMUTATION-TWISTED MODULES FOR EVEN ORDER CYCLES ACTING ON TENSOR PRODUCT VERTEX OPERATOR SUPERALGEBRAS ⋮ Characters, supercharacters and Weber modular functions ⋮ Constructing tensor products of modules for \(C_2\)-cofinite vertex operator superalgebras ⋮ Supersymmetry and the Suzuki chain ⋮ Super-moonshine for Conway's largest sporadic group ⋮ Torus \(n\)-point functions for \(\mathbb R\)-graded vertex operator superalgebras and continuous fermion orbifolds ⋮ TWISTED REPRESENTATIONS OF VERTEX OPERATOR SUPERALGEBRAS ⋮ Module category and \(C_2\)-cofiniteness of affine vertex operator superalgebras ⋮ C₂-Cofiniteness of Cyclic-Orbifold Vertex Operator Superalgebras ⋮ Vertex operator superalgebras associated with affine Lie superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness
• The theory of Jacobi forms
• Fusion rules and modular transformations in 2D conformal field theory
• Classical and quantum conformal field theory
• Theta functions, modular invariance, and strings
• Rationality in conformal field theory
• The operator algebra of orbifold models
• The friendly giant
• Monstrous moonshine from orbifolds
• Generalized vertex algebras and relative vertex operators
• Twisted modules for vertex algebras associated with even lattices
• On the relationship between Monstrous Moonshine and the uniqueness of the Moonshine module
• Regularity of rational vertex operator algebras
• Twisted representations of vertex operator algebras
• Monstrous moonshine and monstrous Lie superalgebras
• Meromorphic \(c=24\) conformal field theories
• Holomorphic vertex operator algebras of small central charge
• Local systems of vertex operators, vertex superalgebras and modules
• A modular invariance on the theta functions defined on vertex operator algebras
• A natural representation of the Fischer-Griess Monster with the modular function J as character
• Calculus of twisted vertex operators
• Vertex algebras, Kac-Moody algebras, and the Monster
• Monstrous Moonshine
• Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
• String Theory
• MODULARITY ON VERTEX OPERATOR ALGEBRAS ARISING FROM SEMISIMPLE PRIMARY VECTORS
• Rationality, regularity, and 𝐶₂-cofiniteness
• Modular invariance of characters of vertex operator algebras
• TWISTED REPRESENTATIONS OF VERTEX OPERATOR SUPERALGEBRAS
• Orbifold constructions and the classification of self-dual \(c=24\) conformal field theories
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

This page was built for publication: Modularity in orbifold theory for vertex operator superalgebras