C 2-Cofinite $\mathcal{W}$-Algebras and Their Logarithmic Representations
From MaRDI portal
Publication:5244900
DOI10.1007/978-3-642-39383-9_6zbMath1336.17018arXiv1212.6771OpenAlexW2229728968MaRDI QIDQ5244900
Publication date: 31 March 2015
Published in: Mathematical Lectures from Peking University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.6771
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items (18)
Algebras of non-local screenings and diagonal Nichols algebras ⋮ On the Feigin-Tipunin conjecture ⋮ On rationality of C-graded vertex algebras and applications to Weyl vertex algebras under conformal flow ⋮ A realization of certain modules for the \(N = 4\) superconformal algebra and the affine Lie algebra \(a_{2}^{(1)}\) ⋮ On parafermion vertex algebras of 𝔰𝔩(2) and 𝔰𝔩(3) at level −3 2 ⋮ Log-modular quantum groups at even roots of unity and the quantum Frobenius I ⋮ The vertex algebras \(\mathcal{R}^{(p)}\) and \(\mathcal{V}^{(p)}\) ⋮ Logarithmic conformal field theories of type B n, ℓ = 4 and symplectic fermions ⋮ W-algebras for Argyres-Douglas theories ⋮ Characters of Modules of Irrational Vertex Algebras ⋮ Logarithmic conformal field theory, log-modular tensor categories and modular forms ⋮ A quasi-Hopf algebra for the triplet vertex operator algebra ⋮ 3-manifolds and VOA characters ⋮ On Zhu's algebra and \(C_2\)-algebra for symplectic fermion vertex algebra \(SF (d)^+\) ⋮ Quantum groups and Nichols algebras acting on conformal field theories ⋮ Classification of screening systems for lattice vertex operator algebras ⋮ Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions ⋮ Higher rank partial and false theta functions and representation theory
Cites Work
- Zhu's algebras, \(C_{2}\)-algebras and abelian radicals
- The structure of Zhu's algebras for certain \(\mathcal W\)-algebras
- Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness
- Lattice vertex algebras and combinatorial bases: general case and \(W\)-algebras
- On \(\mathcal W\)-algebra extensions of \((2,p)\) minimal models: \(p>3\)
- The \(N = 1\) triplet vertex operator superalgebras
- Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
- Fermionic expressions for the characters of \(c_{p,1}\) logarithmic conformal field theories
- Logarithmic extensions of minimal models: characters and modular transformations
- Logarithmic intertwining operators and vertex operators
- A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra
- Finite vs affine \(W\)-algebras
- Cofiniteness conditions, projective covers and the logarithmic tensor product theory
- The \(N=1\) triplet vertex operator superalgebras: twisted sector
- Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT
- Lattice construction of logarithmic modules for certain vertex algebras
- Fock space representations of the Virasoro algebra. Intertwining operators
- Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
- Classification of irreducible modules of \({\mathcal W}_3\) algebra with \(c=-2\)
- Generalized vertex algebras and relative vertex operators
- Quantization and representation theory of finite \(W\) algebras
- Vertex algebras associated with even lattices
- The physics superselection principle in vertex operator algebra theory
- Classification of irreducible modules of certain subalgebras of free boson vertex algebra.
- Logarithmic conformal field theories via logarithmic deformations
- Fusion rings for degenerate minimal models.
- Nonsemisimple fusion algebras and the Verlinde formula
- \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
- Local systems of vertex operators, vertex superalgebras and modules
- Representation theory of \(\mathcal{W}\)-algebras
- Relating the archetypes of logarithmic conformal field theory
- Full field algebras
- On the triplet vertex algebra \(\mathcal W(p)\)
- On the concepts of intertwining operator and tensor product module in vertex operator algebra theory
- ON MODULAR INVARIANT PARTITION FUNCTIONS OF CONFORMAL FIELD THEORIES WITH LOGARITHMIC OPERATORS
- An explicit realization of logarithmic modules for the vertex operator algebra $\mathcal {W}_{p,p^{\prime }}$Wp,p′
- Nilpotent orbits and finite W-algebras
- On W-Algebras Associated to (2, p) Minimal Models and Their Representations
- A modular invariant bulk theory for the \boldsymbol{c=0} triplet model
- Logarithmic vector-valued modular forms
- Nonmeromorphic operator product expansion andC2-cofiniteness for a family of -algebras
- Fusion rules of the {\cal W}_{p,q} triplet models
- A LOGARITHMIC GENERALIZATION OF TENSOR PRODUCT THEORY FOR MODULES FOR A VERTEX OPERATOR ALGEBRA
- Zhu's algebra and theC2-algebra in the symplectic and the orthogonal cases
- Modular invariance for conformal full field algebras
- Fusion rules and boundary conditions in thec= 0 triplet model
- Vertex algebras, Kac-Moody algebras, and the Monster
- Rationality, regularity, and 𝐶₂-cofiniteness
- Modular invariance of characters of vertex operator algebras
- SOME REMARKS ON PSEUDO-TRACE FUNCTIONS FOR ORBIFOLD MODELS ASSOCIATED WITH SYMPLECTIC FERMIONS
- Hopf algebras and finite tensor categories in conformal field theory
- On axiomatic approaches to vertex operator algebras and modules
- From boundary to bulk in logarithmic CFT
- Logarithmic and Complex Constant Term Identities
- Zhu's algebra, the C_2 algebra, and twisted modules
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: C 2-Cofinite $\mathcal{W}$-Algebras and Their Logarithmic Representations
