Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector
From MaRDI portal
Publication:3452304
DOI10.1088/1751-8113/48/41/415402zbMath1331.81254arXiv1504.03155OpenAlexW3102752999MaRDI QIDQ3452304
No author found.
Publication date: 11 November 2015
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.03155
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Statistical mechanics of polymers (82D60) Applications of Lie (super)algebras to physics, etc. (17B81) Quantum field theory on lattices (81T25) Percolation (82B43)
Related Items (12)
An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ Modularity of logarithmic parafermion vertex algebras ⋮ Modularity of Bershadsky-Polyakov minimal models ⋮ Explicit formulas of the logarithmic couplings of certain staggered Virasoro modules ⋮ NGK and HLZ: Fusion for Physicists and Mathematicians ⋮ Staggered and affine Kac modules over \(A_1^{(1)}\) ⋮ Staggered modules of \(N = 2\) superconformal minimal models ⋮ Representations of the Nappi-Witten vertex operator algebra ⋮ Boundary algebras and Kac modules for logarithmic minimal models ⋮ Admissible-level \(\mathfrak{sl}_3\) minimal models ⋮ Relaxed highest-weight modules II: Classifications for affine vertex algebras ⋮ Fusion rules for the logarithmic \(N\)=1 superconformal minimal models. II: Including the Ramond sector
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fusion rules for the logarithmic \(N\)=1 superconformal minimal models. II: Including the Ramond sector
- From percolation to logarithmic conformal field theory
- Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models
- Coset graphs in bulk and boundary logarithmic minimal models
- The Neveu-Schwarz and Ramond algebras of logarithmic superconformal field theory
- Indecomposability parameters in chiral logarithmic conformal field theory
- Classification of Kac representations in the logarithmic minimal models \(LM(1,p)\)
- The \(N = 1\) triplet vertex operator superalgebras
- Fusion rules and modular transformations in 2D conformal field theory
- Logarithmic limits of minimal models
- Logarithmic primary fields in conformal and superconformal field theory
- The \(\text{GL}(1| 1)\) WZW-model: from supergeometry to logarithmic CFT
- Logarithmic extensions of minimal models: characters and modular transformations
- Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models
- Logarithmic \(M(2,p)\) minimal models, their logarithmic couplings, and duality
- \(\mathcal W\)-extended logarithmic minimal models
- On the percolation BCFT and the crossing probability of Watts
- \(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study
- The \(N=1\) triplet vertex operator superalgebras: twisted sector
- Lattice construction of logarithmic modules for certain vertex algebras
- Unitary representations of the Virasoro and super-Virasoro algebras
- Highest weight representations of the Neveu-Schwarz and Ramond algebras
- Virasoro algebras and coset space models
- Bailey flows and Bose-Fermi identities for the conformal coset models \((A^{(1)}_1)_N\times (A^{(1)}_1)_{N^\prime}/ (A^{(1)}_1)_{N+N^\prime{}}\)
- On the structure of Verma modules over Virasoro and Neveu-Schwarz algebras
- Representation theory of Neveu-Schwarz and Ramond algebras. I: Verma modules.
- Quantum reduction for affine superalgebras
- Representation theory of Neveu-Schwarz and Ramond algebras. II: Fock modules.
- \(c\)-theorem for disordered systems
- Exactly solvable SOS models. Local height probabilities and theta function identities
- Fusion rings for degenerate minimal models.
- Nonsemisimple fusion algebras and the Verlinde formula
- Modular data and Verlinde formulae for fractional level WZW models I
- Lattice fusion rules and logarithmic operator product expansions
- Fusion algebras of fermionic rational conformal field theories via a generalized Verlinde formula
- Fusion rules of chiral algebras
- Bosonic ghosts at \(c=2\) as a logarithmic CFT
- On the \(\text{SU}(2| 1)\) WZNW model and its statistical mechanics applications
- Associative-algebraic approach to logarithmic conformal field theories
- 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
- FUSION IN CONFORMAL FIELD THEORY AS THE TENSOR PRODUCT OF THE SYMMETRY ALGEBRA
- Coset construction of logarithmic minimal models: branching rules and branching functions
- The tensor structure on the representation category of the $\mathcal {W}_p$ triplet algebra
- Logarithmic conformal field theories as limits of ordinary CFTs and some physical applications
- Logarithmic operators and logarithmic conformal field theories
- Logarithmic conformal field theory: beyond an introduction
- Polynomial fusion rings of W-extended logarithmic minimal models
- $\mathcal {W}$-extended Kac representations and integrable boundary conditions in the logarithmic minimal models ${\mathcal{WLM}}(1,p)$
- Fusion of irreducible modules in {\cal WLM}(p,p^{\prime })
- Grothendieck ring and Verlinde-like formula for the {\cal W}-extended logarithmic minimal model {\cal WLM}(1,p)
- Fusion rules of the {\cal W}_{p,q} triplet models
- Virasoro representations and fusion for general augmented minimal models
- Integrable boundary conditions and {\cal W} -extended fusion in the logarithmic minimal models {\cal LM}(1\hbox{,}\, p)
- {\cal W} -extended fusion algebra of critical percolation
- Fusion matrices, generalized Verlinde formulas and partition functions in {\cal WLM}(1,p)
- On staggered indecomposable Virasoro modules
- Radford, Drinfeld and Cardy boundary states in the (1,p) logarithmic conformal field models
- Fusion rules and boundary conditions in thec= 0 triplet model
- Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
- Fusion of Twisted Representations
- Tensor Structures Arising from Affine Lie Algebras. IV
- Notes on the K3 Surface and the Mathieu GroupM24
- Takiff superalgebras and conformal field theory
- QUASI-RATIONAL FUSION PRODUCTS
- Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
- Polynomial fusion rings of logarithmic minimal models
- Fusion algebras of logarithmic minimal models
- From boundary to bulk in logarithmic CFT
- Boundary algebras and Kac modules for logarithmic minimal models
This page was built for publication: Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector
