Boundary algebras and Kac modules for logarithmic minimal models
From MaRDI portal
Publication:5964174
DOI10.1016/j.nuclphysb.2015.08.017zbMath1331.81262arXiv1503.07584OpenAlexW1916508006MaRDI QIDQ5964174
No author found.
Publication date: 26 February 2016
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.07584
Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27)
Related Items
An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula, On the computation of fusion over the affine Temperley-Lieb algebra, Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector, Modularity of Bershadsky-Polyakov minimal models, Topological defects in lattice models and affine Temperley-Lieb algebra, Critical site percolation on the triangular lattice: from integrability to conformal partition functions, Spin chains as modules over the affine Temperley-Lieb algebra, Bimodule structure of the mixed tensor product over \(\mathcal{U}_q s \ell(2 | 1)\) and quantum walled Brauer algebra, Fock space realisations of staggered modules in 2D logarithmic CFTs, Restriction and induction of indecomposable modules over the Temperley–Lieb algebras, NGK and HLZ: Fusion for Physicists and Mathematicians, Tensor categories arising from the Virasoro algebra, Staggered and affine Kac modules over \(A_1^{(1)}\), Logarithmic minimal models with Robin boundary conditions, Conformal partition functions of critical percolation fromD3thermodynamic Bethe Ansatz equations, Representations of the Nappi-Witten vertex operator algebra, Baxterisation of the fused Hecke algebra and \(R\)-matrices with \(gl(N)\)-symmetry, 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
- From percolation to logarithmic conformal field theory
- Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models
- Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities
- Coset graphs in bulk and boundary logarithmic minimal models
- Classification of Kac representations in the logarithmic minimal models \(LM(1,p)\)
- Conformal field theory
- Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
- Logarithmic limits of minimal models
- Logarithmic extensions of minimal models: characters and modular transformations
- Critical dense polymers with Robin boundary conditions, half-integer Kac labels and \(\mathbb{Z}_4\) fermions
- Associative algebraic approach to logarithmic CFT in the bulk: the continuum limit of the \(\mathfrak{gl}(1|1)\) periodic spin chain, Howe duality and the interchiral algebra
- 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
- The two-boundary Temperley-Lieb algebra.
- Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- Infinite conformal symmetry in two-dimensional quantum field theory
- Hecke algebras of type \(A_ n\) and subfactors
- The blob algebra and the periodic Temperley-Lieb algebra
- The Temperley-Lieb algebra at roots of unity
- Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundaries
- A local logarithmic conformal field theory
- Non-unitary observables in the 2D critical Ising model
- Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
- Index for subfactors
- Nonsemisimple fusion algebras and the Verlinde formula
- The representation theory of the Temperley-Lieb algebras
- Cellular algebras
- Modular data and Verlinde formulae for fractional level WZW models I
- Lattice fusion rules and logarithmic operator product expansions
- Continuum limit and symmetries of the periodic \({\mathfrak g}\ell (1|1)\) spin chain
- Bimodule structure in the periodic \({\mathfrak g}\ell (1|1)\) spin chain
- Logarithmic operators in conformal field theory
- Representations of the Virasoro algebra from lattice models.
- On the structure of the blob algebra
- Indecomposable fusion products
- Bosonic ghosts at \(c=2\) as a logarithmic CFT
- Standard modules, induction and the structure of the Temperley-Lieb algebra
- Associative-algebraic approach to logarithmic conformal field theories
- Relating the archetypes of logarithmic conformal field theory
- A physical approach to the classification of indecomposable Virasoro representations from the blob algebra
- Modular invariant partition function of critical dense polymers
- Modular data and Verlinde formulae for fractional level WZW models. II
- Modular transformations and Verlinde formulae for logarithmic (\(p_+,p_-\))-models
- The periodic \(s(2|1)\) alternating spin chain and its continuum limit as a bulk logarithmic conformal field theory at \(c = 0\)
- Non-analyticity of the Callan-Symanzik β-function of two-dimensional O(N) models
- FUSION IN CONFORMAL FIELD THEORY AS THE TENSOR PRODUCT OF THE SYMMETRY ALGEBRA
- ON MODULAR INVARIANT PARTITION FUNCTIONS OF CONFORMAL FIELD THEORIES WITH LOGARITHMIC OPERATORS
- The tensor structure on the representation category of the $\mathcal {W}_p$ triplet algebra
- Logarithmic conformal field theory: beyond an introduction
- Logarithmic conformal field theory: a lattice approach
- Jordan cells of periodic loop models
- Lattice W-algebras and logarithmic CFTs
- Representation Theory of the Virasoro Algebra
- A proof of selection rules for critical dense polymers
- Exact expressions for correlations in the ground state of the dense O(1) loop model
- The Jordan structure of two-dimensional loop models
- Logarithmic superconformal minimal models
- Fusion hierarchies,T-systems, andY-systems of logarithmic minimal models
- Kac boundary conditions of the logarithmic minimal models
- On the reality of spectra ofUq(sl2)-invariant XXZ Hamiltonians
- 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
- JORDAN CELLS IN LOGARITHMIC LIMITS OF CONFORMAL FIELD THEORY
- Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector
- Integrable boundary conditions and {\cal W} -extended fusion in the logarithmic minimal models {\cal LM}(1\hbox{,}\, p)
- 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
- Tensor Structures Arising from Affine Lie Algebras. IV
- Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
- Diagram algebras, Hecke algebras and decomposition numbers at roots of unity
- An Invariant of Regular Isotopy
- Boundary conditions for integrable quantum systems
- Takiff superalgebras and conformal field theory
- Infinitely extended Kac table of solvable critical dense polymers
- QUASI-RATIONAL FUSION PRODUCTS
- One-boundary Temperley–Lieb algebras in the XXZ and loop models
- The Temperley–Lieb algebra and its generalizations in the Potts andXXZmodels
- Logarithmic minimal models
- Fusion algebra of critical percolation
- Fusion algebras of logarithmic minimal models
- From boundary to bulk in logarithmic CFT
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
- Symplectic fermions
- Integrable and conformal boundary conditions for \(\widehat{\text{sl}}(2) A\text{-}D\text{-}E\) lattice models and unitary minimal conformal field theories