Rationality, regularity, and 𝐶₂-cofiniteness
From MaRDI portal
Publication:4813811
DOI10.1090/S0002-9947-03-03413-5zbMath1070.17011arXivmath/0204021OpenAlexW1720319403MaRDI QIDQ4813811
Toshiyuki Abe, Geoffrey Buhl, Chongying Dong
Publication date: 13 August 2004
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0204021
Related Items
Modularity in orbifold theory for vertex operator superalgebras, On semisimplicity of module categories for finite non-zero index vertex operator subalgebras, Holomorphic integer graded vertex superalgebras, Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the \(-1\)-isometries, Sigma involutions associated with parafermion vertex operator algebra K(sl2,k), Bimodule and twisted representation of vertex operator algebras, Quantum dimensions and fusion rules of the VOA \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\), \(S\)-matrix in permutation orbifolds, Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\), Representation theory of \(\mathcal{W}\)-algebras, Conformal field theories associated to regular chiral vertex operator algebras. I: Theories over the projective line, A family of regular vertex operator algebras with two generators, Super orbifold theory, Rationality and \(C_2\)-cofiniteness of certain diagonal coset vertex operator algebras, The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 1), On orbifold theory, Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three, Vertex operator algebras generated by two Ising vectors, Zhu's algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras, Orbifolds of lattice vertex algebras, A generalized Kac-Moody algebra of rank 14, Ribbon tensor structure on the full representation categories of the singlet vertex algebras, Quantum dimensions and irreducible modules of some diagonal coset vertex operator algebras, \(C_2\)-cofiniteness of 2-cyclic permutation orbifold models, Haploid algebras in \(C^*\)-tensor categories and the Schellekens list, Classification of unitary RCFTs with two primaries and central charge less than 25, Congruence property in orbifold theory, Energy bounds for vertex operator algebra extensions, On indecomposable vertex algebras associated with vertex algebroids, Twisted Heisenberg-Virasoro vertex operator algebra, Tensor Categories for Vertex Operator Superalgebra Extensions, On the tensor structure of modules for compact orbifold vertex operator algebras, Regular vertex operator subalgebras and compressions of intertwining operators, On the irreducibility of associated varieties of \(W\)-algebras, Parafermion vertex operator algebras, Mirror extensions of rational vertex operator algebras, Coset vertex operator algebras and \(\mathcal W\)-algebras of \(A\)-type, Representations of vertex operator algebras and bimodules, Inertia groups and uniqueness of holomorphic vertex operator algebras, VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE, \(S\)-matrix in orbifold theory, Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case., The VOAs generated by two Ising vectors \(e\) and \(f\) with \(\langle e, f \rangle = \frac{1}{2^8}, |\tau_e \tau_f| = 3\) or \(\langle e, f \rangle = \frac{3}{2^9}\), Uniqueness of VOA structure of \(3C\)-algebra and \(5A\)-algebra, Regularity of vertex operator superalgebras, NGK and HLZ: Fusion for Physicists and Mathematicians, Module categories of simple current extensions of vertex operator algebras., Representations of the orbifold VOAS \(L_{\widehat{\mathfrak{sl}_2}}(k,0)^K\) and the commutant VOAS \(C_{{L_{\widehat{\mathfrak{so}_m}}(1,0)}^{\otimes 3}}({L_{\widehat{\mathfrak{so}_m}}(3,0)})\), Classification of extremal vertex operator algebras with two simple modules, Orbifolds of lattice vertex algebras under an isometry of order two, Rationality of \(W\)-algebras: principal nilpotent cases, The extensions of \({L_{sl_{2}}(k, 0)}\) and preunitary vertex operator algebras with central charges \(c < 1\), Conformal blocks from vertex algebras and their connections on \(\overline{\mathcal{M}}_{g,n}\), The irreducible modules and fusion rules for the parafermion vertex operator algebras, Full field algebras, On the structure of framed vertex operator algebras and their pointwise frame stabilizers, DIFFERENTIAL EQUATIONS, DUALITY AND MODULAR INVARIANCE, Ordered spanning sets for quasimodules for Möbius vertex algebras, Vertex operator superalgebras and the 16-fold way, 2-permutations of lattice vertex operator algebras: higher rank, Rational vertex operator algebras are finitely generated, \(\phi\)-coordinated modules for quantum vertex algebras and associative algebras, The 3-permutation orbifold of a lattice vertex operator algebra, Spanning sets for Möbius vertex algebras satisfying arbitrary difference conditions, Simplicity of vacuum modules and associated varieties, \(6A\)-algebra and its representations, On the triplet vertex algebra \(\mathcal W(p)\), \(\mathbb{Z}\)-graded weak modules and regularity, On \(C_{2}\)-cofiniteness of parafermion vertex operator algebras, Constructing tensor products of modules for \(C_2\)-cofinite vertex operator superalgebras, Zhu's algebras, \(C_{2}\)-algebras and abelian radicals, Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness, Rationality of the vertex operator algebra \(V_L+\) for a positive definite even lattice \(L\), Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras, RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES, A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra, Some exceptional extensions of Virasoro vertex operator algebras, Representation theory in chiral conformal field theory: from fields to observables, Cofiniteness conditions, projective covers and the logarithmic tensor product theory, Zhu reduction for Jacobi $n$-point functions and applications, C2-Cofiniteness of the Vertex Algebra WhenLis a Nondegenerate Even Lattice, Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three, Vertex algebroids and conformal vertex algebras associated with simple Leibniz algebras, Kazama-Suzuki coset construction and its inverse, Quantum dimensions and fusion products for irreducibleVQσ-modules withσ2 = 1, 3-dimensional Griess Algebras and Miyamoto Involutions, Orbifolds of symplectic fermion algebras, Gluing vertex algebras, Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras, C 2-Cofinite $\mathcal{W}$-Algebras and Their Logarithmic Representations, A holomorphic vertex operator algebra of central charge 24 with the weight one Lie algebra \(F_{4,6}A_{2,2}\), Trialities of orthosymplectic \(\mathcal{W} \)-algebras, Quantum dimensions and quantum Galois theory, Abelianizing vertex algebras, C2-Cofiniteness of Cyclic-Orbifold Vertex Operator Superalgebras, Rationality of the exceptional \(\mathcal{W}\)-algebras \(\mathcal{W}_k(\mathfrak{sp}_4,f_{subreg})\) associated with subregular nilpotent elements of \(\mathfrak{sp}_4\)
Cites Work
- Unnamed Item
- Unnamed Item
- On quantum Galois theory
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- Some finiteness properties of regular vertex operator algebras
- Determining fusion rules by \(A(V)\)-modules and bimodules
- Regularity of rational vertex operator algebras
- Twisted representations of vertex operator algebras
- Finiteness of conformal blocks over compact Riemann surfaces
- Rationality, quasirationality and finite \(W\)-algebras
- Vertex operator algebras, generalized doubles and dual pairs
- A spanning set for VOA modules.
- C2-Cofiniteness of the Vertex Operator Algebra WhenLIs a Rank One Lattice
- Vertex algebras, Kac-Moody algebras, and the Monster
- Modular invariance of characters of vertex operator algebras
- On axiomatic approaches to vertex operator algebras and modules
- Modular-invariance of trace functions in orbifold theory and generalized Moonshine.
