Cofiniteness conditions, projective covers and the logarithmic tensor product theory
From MaRDI portal
Publication:1004456
DOI10.1016/j.jpaa.2008.07.016zbMath1225.17032arXiv0712.4109OpenAlexW2964350712MaRDI QIDQ1004456
Publication date: 10 March 2009
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.4109
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items
On semisimplicity of module categories for finite non-zero index vertex operator subalgebras ⋮ Representation theory of vertex operator algebras and orbifold conformal field theory ⋮ The logarithmic Cardy case: boundary states and annuli ⋮ Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras ⋮ Uprolling unrolled quantum groups ⋮ Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\) ⋮ Ribbon tensor structure on the full representation categories of the singlet vertex algebras ⋮ A quasi-Hopf algebra for the triplet vertex operator algebra ⋮ Convergence of sewing conformal blocks ⋮ Geometric positivity of the fusion products of unitary vertex operator algebra modules ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ On the tensor structure of modules for compact orbifold vertex operator algebras ⋮ Coset graphs in bulk and boundary logarithmic minimal models ⋮ Logarithmic intertwining operators and associative algebras ⋮ NGK and HLZ: Fusion for Physicists and Mathematicians ⋮ Tensor categories arising from the Virasoro algebra ⋮ Some open problems in mathematical two-dimensional conformal field theory ⋮ On ribbon categories for singlet vertex algebras ⋮ \(C_{2}\)-cofiniteness of the 2-cycle permutation orbifold models of minimal Virasoro vertex operator algebras ⋮ A Heisenberg double addition to the logarithmic Kazhdan-Lusztig duality. ⋮ Constructing tensor products of modules for \(C_2\)-cofinite vertex operator superalgebras ⋮ Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras ⋮ Twisted modules and \(G\)-equivariantization in logarithmic conformal field theory ⋮ Representation theory of $L_k(\mathfrak {osp}(1 \vert 2))$ from vertex tensor categories and Jacobi forms ⋮ A sufficient condition for convergence and extension property for strongly graded vertex algebras ⋮ The non-semisimple Verlinde formula and pseudo-trace functions ⋮ The level one Zhu algebra for the Virasoro vertex operator algebra ⋮ Simple current extensions beyond semi-simplicity ⋮ Tensor categories of affine Lie algebras beyond admissible levels ⋮ Projective objects and the modified trace in factorisable finite tensor categories ⋮ Schur-Weyl duality for Heisenberg cosets ⋮ On \(\mathcal W\)-algebra extensions of \((2,p)\) minimal models: \(p>3\) ⋮ Strongly graded vertex algebras generated by vertex Lie algebras ⋮ Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules ⋮ C 2-Cofinite $\mathcal{W}$-Algebras and Their Logarithmic Representations ⋮ Lattice construction of logarithmic modules for certain vertex algebras ⋮ Braided tensor categories and extensions of vertex operator algebras ⋮ Urod algebras and Translation of W-algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness
- 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
- Vertex tensor category structure on a category of Kazhdan-Lusztig
- A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra
- Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT
- Vertex operator algebras and associative algebras
- Some finiteness properties of regular vertex operator algebras
- Certain generating subspaces for vertex operator algebras
- Two-dimensional conformal geometry and vertex operator algebras
- Rationality, quasirationality and finite \(W\)-algebras
- Introduction to vertex operator algebras and their representations
- A spanning set for VOA modules.
- Nonsemisimple fusion algebras and the Verlinde formula
- A theory of tensor products for module categories for a vertex operator algebra. III
- A theory of tensor products for module categories for a vertex operator algebra. IV
- A theory of tensor products for module categories for a vertex operator algebra. I
- A theory of tensor products for module categories for a vertex operator algebra. II
- Logarithmic operators in conformal field theory
- Indecomposable fusion products
- 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 Fusion Rules in Logarithmic Conformal Field Theories
- ON MODULAR INVARIANT PARTITION FUNCTIONS OF CONFORMAL FIELD THEORIES WITH LOGARITHMIC OPERATORS
- Tensor Structures Arising from Affine Lie Algebras. I
- Nonmeromorphic operator product expansion andC2-cofiniteness for a family of -algebras
- Logarithmic torus amplitudes
- A LOGARITHMIC GENERALIZATION OF TENSOR PRODUCT THEORY FOR MODULES FOR A VERTEX OPERATOR ALGEBRA
- VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE
- Logarithmic intertwining operators and W(2,2p−1) algebras
- Modular invariance for conformal full field algebras
- RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES
- GENUS-ZERO MODULAR FUNCTORS AND INTERTWINING OPERATOR ALGEBRAS
- Tensor Structures Arising from Affine Lie Algebras. III
- Tensor Structures Arising from Affine Lie Algebras. IV
- Rationality, regularity, and 𝐶₂-cofiniteness
- Modular invariance of characters of vertex operator algebras
- QUASI-RATIONAL FUSION PRODUCTS
- Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
- From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory
- DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS
- DIFFERENTIAL EQUATIONS, DUALITY AND MODULAR INVARIANCE
- Symplectic fermions
- Modular-invariance of trace functions in orbifold theory and generalized Moonshine.