Modularity of logarithmic parafermion vertex algebras
From MaRDI portal
Publication:1630336
DOI10.1007/s11005-018-1098-4zbMath1403.17029arXiv1704.05168OpenAlexW2608103816WikidataQ129892492 ScholiaQ129892492MaRDI QIDQ1630336
Thomas Creutzig, David Ridout, Jean Auger
Publication date: 10 December 2018
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.05168
Related Items (17)
On parafermion vertex algebras of 𝔰𝔩(2) and 𝔰𝔩(3) at level −3 2 ⋮ Direct limit completions of vertex tensor categories ⋮ Positive energy representations of affine vertex algebras ⋮ Braided tensor categories of admissible modules for affine Lie algebras ⋮ Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras ⋮ Admissible representations of simple affine vertex algebras ⋮ A Kazhdan-Lusztig correspondence for \(L_{-\frac{3}{2}}(\mathfrak{sl}_3)\) ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models ⋮ Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\) ⋮ On infinite order simple current extensions of vertex operator algebras ⋮ Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras ⋮ Schur-Weyl duality for Heisenberg cosets ⋮ Unitary and non-unitary \(N=2\) minimal models ⋮ Braided tensor categories related to \(\mathcal{B}_p\) vertex algebras ⋮ Relaxed highest-weight modules II: Classifications for affine vertex algebras ⋮ Higher rank partial and false theta functions and representation theory
Cites Work
- Unnamed Item
- Fusion rules for the logarithmic \(N\)=1 superconformal minimal models. II: Including the Ramond sector
- Zhu's algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras
- Coset constructions of logarithmic \((1, p)\) models
- On \(C_{2}\)-cofiniteness of parafermion vertex operator algebras
- Fusion in fractional level \(\widehat{\mathfrak sl}(2)\)-theories with \(k=-\frac{1}{2}\)
- \(\hat{\mathfrak sl}(2)_{-1/2}\) and the triplet model
- Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness
- Non-Abelian bosonization in two dimensions
- The \(N = 1\) triplet vertex operator superalgebras
- Logarithmic lift of the \(\widehat{\text{su}}(2)_{-1/2}\) model
- \(W_n^{(n)}\) algebras
- Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models
- \(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study
- A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra
- The \(N=1\) triplet vertex operator superalgebras: twisted sector
- Generalized vertex algebras and relative vertex operators
- Symmetric invariant bilinear forms on vertex operator algebras
- Vertex operator algebras associated to admissible representations of \(\hat sl_ 2\)
- Graded parafermions
- A local logarithmic conformal field theory
- An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula
- Braided tensor categories of admissible modules for affine Lie algebras
- W-algebras for Argyres-Douglas theories
- Logarithmic link invariants of \(\overline{U}_q^H(\mathfrak{sl}_2)\) and asymptotic dimensions of singlet vertex algebras
- A construction of admissible \(A_1^{(1)}\)-modules of level \(-\frac{4}{3}\)
- On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
- Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)
- Modular data and Verlinde formulae for fractional level WZW models I
- Logarithmic operators in conformal field theory
- False theta functions and the Verlinde formula
- Bosonic ghosts at \(c=2\) as a logarithmic CFT
- \(C_2\)-cofiniteness of cyclic-orbifold models
- Braided tensor categories and extensions of vertex operator algebras
- Representations of the parafermion vertex operator algebras
- Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras
- Cosets of Bershadsky-Polyakov algebras and rational \({\mathcal W}\)-algebras of type \(A\)
- Relating the archetypes of logarithmic conformal field theory
- Modular data and Verlinde formulae for fractional level WZW models. II
- Modular transformations and Verlinde formulae for logarithmic (\(p_+,p_-\))-models
- Characters of graded parafermion conformal field theory
- Branes in the \(\text{GL}(1| 1)\) WZNW model
- On the triplet vertex algebra \(\mathcal W(p)\)
- ON ABELIAN COSET GENERALIZED VERTEX ALGEBRAS
- FUSION IN CONFORMAL FIELD THEORY AS THE TENSOR PRODUCT OF THE SYMMETRY ALGEBRA
- The tensor structure on the representation category of the $\mathcal {W}_p$ triplet algebra
- Logarithmic conformal field theory: beyond an introduction
- Logarithmic superconformal minimal models
- Nonmeromorphic operator product expansion andC2-cofiniteness for a family of -algebras
- Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector
- RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES
- Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
- Logarithmic conformal field theory, log-modular tensor categories and modular forms
- Some applications and constructions of intertwining operators in Logarithmic Conformal Field Theory
- Representation theory of $L_k(\mathfrak {osp}(1 \vert 2))$ from vertex tensor categories and Jacobi forms
- Modular invariance of characters of vertex operator algebras
- Symplectic fermions
- Fusion rules and logarithmic representations of a WZW model at fractional level
This page was built for publication: Modularity of logarithmic parafermion vertex algebras
