C. Dong

activity

19942023

most citedModular invariance of trace functions in orbifold theory

470 citations · 1.4k across the 102 of their papers we have counts for

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77 papers · 1 filter

math.QA2023

Hopf actions on vertex algebras

Chongying Dong, Li Ren, Chao Yang

In this article, we investigate Hopf actions on vertex algebras. Our first main result is that every finite-dimensional Hopf algebra that inner faithfully acts on a given π_2-injec…

math.QA2023★ 1 cited

Orbifold theory for vertex algebras and Galois correspondence

Chongying Dong, Li Ren, Chao Yang

Let $V$ be a simple vertex algebra of countable dimension, $G$ be a finite automorphism group of $V$ and $σ$ be a central element of $G$ . Assume that $S$ is a finite set of…

math.QA2021

$S$ -matrix in permutation orbifolds

Chongying Dong, Feng Xu, Nina Yu

For a fixed positive integer $k$ , any element $g$ of the permutation group $S_{k}$ acts on the tensor product vertex operator algebra $V^{\otimes k}$ in the obvious way. In this pa…

math.QA2021★ 3 cited

Orbifolds and minimal modular extensions

Chongying Dong, Siu-Hung Ng, Li Ren

Let $V$ be a simple, rational, $C_{2}$ -cofinite vertex operator algebra and $G$ a finite group acting faithfully on $V$ as automorphisms, which is simply called a rational vertex ope…

math.QA2021

Super orbifold theory

Chongying Dong, Li Ren, Meiling Yang

Let $V$ be a simple vertex operator superalgebra and $G$ a finite automorphism group of $V$ containing the canonical automorphism $σ$ such that $V^{G}$ is regular. It is proved that…

math.QA2020

S-matrix in orbifold theory

Chongying Dong, Li Ren, Feng Xu

The restricted $S$ -matrix of $V^{G}$ is determined for any regular vertex operator algebra $V$ and finite automorphism group $G$ of $V .$ As an application, the $S$ -matrices for cycli…

math.QA2020

Permutation orbifolds and associative algebras

Chongying Dong, Feng Xu, Nina Yu

Let $V$ be a vertex operator algebra and $g = (12 \dots k)$ be a $k$ -cycle which is viewed as an automorphism of the vertex operator algebra $V^{\otimes k}$ . It is pro…

math.QA2020★ 2 cited

Uniqueness of VOA structure of 3C-algebra and 5A-algebra

Chongying Dong, Wen Zheng

The structure of 3C-algebra and 5A-algebra constructed by Lam-Yamada-Yamauchi is studied and the uniqueness of the vertex operator algebra structure of these two algebras is establ…

math.QA2020★ 1 cited

Vertex operator superalgebras and 16-fold way

Chongying Dong, Siu-Hung Ng, Li Ren

Let $V$ be a vertex operator superalgebra with the natural order 2 automorphism $σ$ . Under suitable conditions on $V$ , the $σ$ -fixed subspace $V_{0 ˉ}$ is a vertex operator alge…

math.QA2019

$6 A$ -Algebra and its representations

Chongying Dong, Xiangyu Jiao, Nina Yu

In this paper, we study the structure and representation of a $6 A$ -algebra which is a vertex operator algebra generated by two Ising vectors $e, f$ with inner product $\left\langle…

math.QA2018

Some exceptional extensions of Virasoro vertex operator algebras

Chunrui Ai, Chongying Dong, Xingjun Lin

In this paper, extensions of nonunitary rational Virasoro vertex operator algebras corresponding to some exceptional modular invariants are constructed. The uniqueness of these ext…

math.QA2018

Trace functions of the Parafermion vertex operator algebras

Chongying Dong, Victor G. Kac, Li Ren

The trace functions for the Parafermion vertex operator algebra associated to any finite dimensional simple Lie algebra $\g$ and any positive integer $k$ are studied and an explici…

math.QA2018

Hopf actions on vertex operator algebras

Chongying Dong, Hao Wang

The Hopf actions on vertex operator algebras are investigated. If the action is semisimple, a Schur-Weyl type decomposition is obtained. When the Hopf algebra is finite dimensional…

math.QA2017★ 1 cited

Cliffold algebras, modular Virasoro vertex operator algebras and Z[1/2]-forms

Chongying Dong, Ching Hung Lam, Li Ren

This paper consists of two parts: (1) Using a Z[1/2]-form of Virasoro vertex operator algebra L(1/2,0) with central charge 1/2, we obtain a modular vertex operator algebra over any…

math.QA2016

Congruence Property in Orbifold Theory

Chongying Dong, Li Ren

Let $V$ be a rational, selfdual, $C_{2}$ -cofinite vertex operator algebra of CFT type, and $G$ a finite automorphism group of $V .$ It is proved that the kernel of the representation…

math.QA2016★ 2 cited

2-permutations of lattice vertex operator algebras: Higher rank

Chongying Dong, Feng Xu, Nina Yu

The fusion rules of the 2-permutation orbifold of an arbitrary lattice vertex operator algebra are determined by using the theory of quantum dimension.

math.QA2015★ 2 cited

On Orbifold Theory

Chongying Dong, Li Ren, Feng Xu

Let V be a simple vertex operator algebra and G a finite automorphism group of V such that V^G is regular. It is proved that every irreducible V^G-module occurs in an irreducible g…

math.QA2014★ 1 cited

Cyclic permutations of lattice vertex operator algebras

Chongying Dong, Feng Xu, Nina Yu

The irreducible modules of the 2-cycle permutation orbifold models of lattice vertex operator algebras of rank 1 are classified, the quantum dimensions of irreducible modules and t…

math.QA2014★ 13 cited

The irreducible modules and fusion rules for the parafermion vertex operator algebras

Chunrui Ai, Chongying Dong, Xiangyu Jiao +1

The irreducible modules for the parafermion vertex operator algebra associated to any finite dimensional Lie algebra and any positive integer are identified, the quantum dimensions…

math.QA2014★ 1 cited

Quantum dimensions and fusion rules for parafermion vertex operator algebras

Chongying Dong, Qing Wang

The quantum dimensions and the fusion rules for the parafermion vertex operator algebra associated to the irreducible highest weight module for the affine Kac-Moody algebra A_1^{(1…

math.QA2014★ 9 cited

The extensions of $L_{s l_{2}} (k, 0)$ and preunitary vertex operator algebra with central charges $c < 1$

Chongying Dong, Xingjun Lin

The extensions of the affine vertex operator algebras $L_{s l_{2}} (k, 0)$ and the preunitary vertex operator algebras with central charges $c < 1$ are classified. In particular, the unit…

math.QA2014★ 10 cited

Representations of the parafermion vertex operator algebras

Chongying Dong, Li Ren

The rationality of the parafermion vertex operator algebra associated to any finite dimensional simple Lie algebra and any nonnegative integer is established and the irreducible mo…

math.QA2013

Fusion rules for the vertex operator algebra $V_{L_{2}}^{A_{4}}$

Chongying Dong, Cuipo Jiang, Qifen Jiang +2

The fusion rules for vertex operator algebra $V_{L_{2}}^{A_{4}}$ are determined.

math.QA2013

A characterization of the vertex operator algebra $V_{L_{2}}^{A_{4}}$

Chongying Dong, Cuipo Jiang

The rational vertex operator algebra $V_{L_{2}}^{A_{4}}$ is characterized in terms of weights of primary vectors. This reduces the classification of rational vertex operator algebr…

Hopf actions on vertex algebras

Orbifold theory for vertex algebras and Galois correspondence

S-matrix in permutation orbifolds

Orbifolds and minimal modular extensions

Super orbifold theory

S-matrix in orbifold theory

Permutation orbifolds and associative algebras

Uniqueness of VOA structure of 3C-algebra and 5A-algebra

Vertex operator superalgebras and 16-fold way

6A-Algebra and its representations

Some exceptional extensions of Virasoro vertex operator algebras

Trace functions of the Parafermion vertex operator algebras

Hopf actions on vertex operator algebras

Cliffold algebras, modular Virasoro vertex operator algebras and Z[1/2]-forms

Congruence Property in Orbifold Theory

2-permutations of lattice vertex operator algebras: Higher rank

On Orbifold Theory

Cyclic permutations of lattice vertex operator algebras

The irreducible modules and fusion rules for the parafermion vertex operator algebras

Quantum dimensions and fusion rules for parafermion vertex operator algebras

The extensions of Lsl2​​(k,0) and preunitary vertex operator algebra with central charges c<1

Representations of the parafermion vertex operator algebras

Fusion rules for the vertex operator algebra VL2​A4​​

A characterization of the vertex operator algebra VL2​A4​​

$S$ -matrix in permutation orbifolds

$6 A$ -Algebra and its representations

The extensions of $L_{s l_{2}} (k, 0)$ and preunitary vertex operator algebra with central charges $c < 1$

Fusion rules for the vertex operator algebra $V_{L_{2}}^{A_{4}}$

A characterization of the vertex operator algebra $V_{L_{2}}^{A_{4}}$