DOI10.1215/S0012-7094-97-08609-9zbMath0890.17031arXivhep-th/9412037OpenAlexW1972876376MaRDI QIDQ677550
Geoffrey Mason, Chongying Dong
Publication date: 25 June 1998
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9412037
C2-Cofiniteness of the Vertex Operator Algebra WhenLIs a Rank One Lattice ⋮
Algebraic orbifold conformal field theories ⋮
Trace functions of the parafermion vertex operator algebras ⋮
A self-dual integral form of the moonshine module ⋮
Rationality, regularity, and 𝐶₂-cofiniteness ⋮
Extension of the Tensor Product of Unitary Virasoro Vertex Operator Algebra ⋮
Natural construction of ten Borcherds-Kac-Moody algebras associated with elements in \(M_{23}\) ⋮
Lattice Subalgebras of Strongly Regular Vertex Operator Algebras ⋮
Vertex operator algebras generated by two Ising vectors ⋮
Simple weak modules for the fixed point subalgebra of the Heisenberg vertex operator algebra of rank $1$ by an automorphism of order $2$ and Whittaker vectors ⋮
Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮
Congruence property in orbifold theory ⋮
Orbifold theory for vertex algebras and Galois correspondence ⋮
Generalized orbifold construction for conformal nets ⋮
Tensor Categories for Vertex Operator Superalgebra Extensions ⋮
Replicable functions arising from code-lattice VOAs fixed by automorphisms ⋮
Orbifold theory of the affine vertex operator superalgebra \(L_{\widehat{osp (1|2)}}(k, 0)\) ⋮
Hopf actions on vertex algebras ⋮
Associative algebras of \(\mathbb{Z}\)-graded vertex operator superalgebras and their applications ⋮
Bimodules and $g$-rationality of vertex operator algebras ⋮
On principal realization of modules for the affine Lie algebra 𝐴₁⁽¹⁾ at the critical level ⋮
Unnamed Item ⋮
Some Combinatorial Coincidences for Standard Representations of Affine Lie Algebras ⋮
Representations and fusion rules for the orbifold vertex operator algebras Lsl2̂(k,0)Zp ⋮
The irreducible modules and fusion rules for the parafermion vertex operator algebras ⋮
Vertex operator superalgebras and the 16-fold way ⋮
Extensions of Tensor Products of Unitary Virasoro Vertex Operator Algebra ⋮
ADE SUBALGEBRAS OF THE TRIPLET VERTEX ALGEBRA 𝒲(p): D-SERIES ⋮
REPRESENTATIONS OF TERNARY CODE VERTEX OPERATOR ALGEBRAS ⋮
Monstrous moonshine of higher weight ⋮
FUSION RULES FOR THE HAMMING CODE VERTEX OPERATOR ALGEBRA ⋮
Projections in string theory and boundary states for Gepner models. ⋮
Towards a quantum Galois theory for quantum double algebras of finite groups ⋮
Fixed Points Subalgebra of Vertex Operator Algebras Associated to Affine Algebras of TypeA ⋮
Classification of irreducible modules for the vertex operator algebra \(M(1)^+\). II: Higher rank ⋮
FUSION RULES AND COMPLETE REDUCIBILITY OF CERTAIN MODULES FOR AFFINE LIE ALGEBRAS ⋮
3-state Potts model and automorphisms of vertex operator algebras of order 3 ⋮
Fusion rules for the charge conjugation orbifold ⋮
A class of vertex operator algebras constructed from \(\mathbb{Z}_8\) codes ⋮
The radical of a vertex operator algebra associated to a module ⋮
2-cyclic permutations of lattice vertex operator algebras ⋮
C2-Cofiniteness of the Vertex Algebra WhenLis a Nondegenerate Even Lattice ⋮
Pseudo-characters of the symplectic fermions and modular linear differential equations ⋮
AXIOMATIC G1-VERTEX ALGEBRAS ⋮
CONSTRUCTING QUANTUM VERTEX ALGEBRAS ⋮
Bimodules associated to modules of vertex operator algebras ⋮
Permutation orbifolds of 𝔰𝔩2 vertex operator algebras ⋮
Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels ⋮
Parafermion vertex operator algebras and $W$-algebras ⋮
Unnamed Item ⋮
Representations of Code Vertex Operator Superalgebras ⋮
Quantum dimensions and quantum Galois theory ⋮
On the concepts of intertwining operator and tensor product module in vertex operator algebra theory ⋮
On voa associated with special jordan algebras ⋮
C2-Cofiniteness of Cyclic-Orbifold Vertex Operator Superalgebras ⋮
Modular \(A_{n}(V)\) theory ⋮
Representations of the parafermion vertex operator algebras ⋮
The \(\mathbb{Z}_2\)-orbifold of the \(\mathcal{W}_3\)-algebra ⋮
Bimodule and twisted representation of vertex operator algebras ⋮
Classification of the vertex operator algebras \(V_L^+\) of class \(\mathcal{S}^4\) ⋮
Moonshine ⋮
Modular Virasoro vertex algebras and affine vertex algebras ⋮
The algebra of discrete torsion. ⋮
Integrals, quantum Galois extensions, and the affineness criterion for quantum Yetter-Drinfel'd modules ⋮
\(G\)-twisted associative algebras of vertex operator superalgebras ⋮
Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras ⋮
Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\) ⋮
The automorphism group of the vertex operator algebra \(V_L^+\) for an even lattice \(L\) without roots ⋮
Super orbifold theory ⋮
Ising vectors and automorphism groups of commutant subalgebras related to root systems ⋮
On orbifold theory ⋮
Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras ⋮
Lie superalgebras and irreducibility of \(A_1^{(1)}\)-modules at the critical level ⋮
Coset construction of \(\mathbb Z/3\) orbifold vertex operator algebra \(V_{\sqrt{2}A_2}^{\tau}\) ⋮
Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three ⋮
Representations of \(\mathbb{Z}_2\)-orbifold of the parafermion vertex operator algebra \(K(sl_{2},k)\) ⋮
Hopf actions on vertex operator algebras. II: Smash product ⋮
On indecomposable vertex algebras associated with vertex algebroids ⋮
Simple vertex operator algebras are nondegenerate. ⋮
Vertex operator algebra with two Miyamoto involutions generating \(S_{3}\). ⋮
A duality theorem for vertex operator algebras ⋮
On the tensor structure of modules for compact orbifold vertex operator algebras ⋮
Some general results on conformal embeddings of affine vertex operator algebras ⋮
The varieties of Heisenberg vertex operator algebras ⋮
On the constructions of holomorphic vertex operator algebras of central charge 24 ⋮
Topological entanglement entropy in Euclidean \(\mathrm{AdS}_{3}\) via surgery ⋮
Representations of vertex operator algebras and bimodules ⋮
Vertex operator algebras generated by two conformal vectors whose \(\tau\)-involutions generate \(S_{3}\). ⋮
\(S\)-matrix in orbifold theory ⋮
Fusion rules for \(\mathbb{Z}_2\)-orbifolds of affine and parafermion vertex operator algebras ⋮
Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case. ⋮
Uniform product of \(A_{g,n}(V)\) for an orbifold model \(V\) and \(G\)-twisted Zhu algebra. ⋮
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 ⋮
On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras ⋮
Module categories of simple current extensions of vertex operator algebras. ⋮
Fusion rules for the vertex operator algebra \(V_{L_2}^{A_4}\) ⋮
Schellekens' list and the very strange formula ⋮
Representations of the orbifold VOAS \(L_{\widehat{\mathfrak{sl}_2}}(k,0)^K\) and the commutant VOAS \(C_{{L_{\widehat{\mathfrak{so}_m}}(1,0)}^{\otimes 3}}({L_{\widehat{\mathfrak{so}_m}}(3,0)})\) ⋮
Quantum Galois theory for finite groups ⋮
Intertwining operator algebras and vertex tensor categories for affine Lie algebras ⋮
\(\mathbb{Z}_2 \times \mathbb{Z}_2\) codes and vertex operator algebras ⋮
On \(\mathbb {Z}_p\)-orbifold constructions of the Moonshine vertex operator algebra ⋮
A generalization of twisted modules over vertex algebras ⋮
Lifts of automorphisms of vertex operator algebras in simple current extensions ⋮
On the structure of framed vertex operator algebras and their pointwise frame stabilizers ⋮
Cyclic orbifolds of lattice vertex operator algebras having group-like fusions ⋮
Classification of irreducible modules of the vertex algebra \(V^+ _L\) when \(L\) is a nondegenerate even lattice of an arbitrary rank ⋮
\(\phi\)-coordinated modules for quantum vertex algebras and associative algebras ⋮
The 3-permutation orbifold of a lattice vertex operator algebra ⋮
\(6A\)-algebra and its representations ⋮
A new construction of vertex algebras and quasi-modules for vertex algebras. ⋮
The rank-2 lattice-type vertex operator algebras \(V_L^+\) and their automorphism groups ⋮
2A-orbifold construction and the baby-monster vertex operator superalgebra ⋮
A construction of admissible \(A_1^{(1)}\)-modules of level \(-\frac{4}{3}\) ⋮
Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness ⋮
The structure of parafermion vertex operator algebras: general case ⋮
Rationality of the vertex operator algebra \(V_L+\) for a positive definite even lattice \(L\) ⋮
The structure of parafermion vertex operator algebras ⋮
Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras ⋮
Twisted modules and \(G\)-equivariantization in logarithmic conformal field theory ⋮
On intertwining operators and finite automorphism groups of vertex operator algebras ⋮
Hopf actions on vertex operator algebras ⋮
Extensions of tensor products of \(\mathbb{Z}_p\)-orbifold models of the lattice vertex operator algebra \(V_{\sqrt{2} A_{p - 1}}\) ⋮
A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra ⋮
The varieties of semi-conformal vectors of affine vertex operator algebras ⋮
Simple toroidal vertex algebras and their irreducible modules ⋮
On vertex algebras and their modules associated with even lattices ⋮
Construction and classification of holomorphic vertex operator algebras ⋮
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 ⋮
Rationality of the vertex algebra \(V^+_L\) when \(L\) is a non-degenerate even lattice of arbitrary rank ⋮
Representation theory of code vertex operator algebra ⋮
Vertex operator algebras and associative algebras ⋮
Rank one lattice type vertex operator algebras and their automorphism groups ⋮
Module category and \(C_2\)-cofiniteness of affine vertex operator superalgebras ⋮
The \(\mathbb{Z}_2\)-orbifold of the universal affine vertex algebra ⋮
Quantum Galois theory for compact Lie groups ⋮
Symmetry breaking boundaries. I: General theory ⋮
Symmetry breaking boundaries. II: More structures; examples ⋮
On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras ⋮
Fusion rules for the free bosonic orbifold vertex operator algebra ⋮
Classification of irreducible modules for the vertex operator algebra \(M(1)^+\) ⋮
A Hamming code vertex operator algebra and construction of vertex operator algebras ⋮
A holomorphic vertex operator algebra of central charge 24 with the weight one Lie algebra \(F_{4,6}A_{2,2}\) ⋮
Some twisted modules for framed vertex operator algebras ⋮
Trialities of orthosymplectic \(\mathcal{W} \)-algebras ⋮
\(C_2\)-cofiniteness of cyclic-orbifold models ⋮
Rank one lattice type vertex operator algebras and their automorphism groups. II: \(E\)-series ⋮
The Galois correspondence in field algebra of \(G\)-spin model ⋮
Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra ⋮
Representations of a class of lattice type vertex algebras ⋮
Fusion rings for degenerate minimal models. ⋮
The relationship between skew group algebras and orbifold theory ⋮
Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms
This page was built for publication: On quantum Galois theory