The logarithmic conformal field theories

DOI10.1016/S0550-3213(97)00230-7zbMath0935.81064arXivhep-th/9610168MaRDI QIDQ1358774

M. Reza Rahimi Tabar, Amir Aghamohammadi, Mohammad Khorrami

Publication date: 18 June 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9610168

zbMATH Keywords

two-point functionsoperator product expansionformal ordinary field derivativeOPE coefficientsVirasoro algebra representations

Mathematics Subject Classification ID

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)

Related Items (39)

LOGARITHMIC CONFORMAL FIELD THEORIES AND AdS CORRESPONDENCE ⋮ SU(2)₀ AND OSp(2|2)_-2 WZNW MODELS: TWO CURRENT ALGEBRAS, ONE LOGARITHMIC CFT ⋮ Logarithmic limits of minimal models ⋮ The \(O(n)\) model in the \(n\rightarrow 0\) limit (self-avoiding-walks) and logarithmic conformal field theory ⋮ Logarithmic primary fields in conformal and superconformal field theory ⋮ On logarithmic solutions to the conformal Ward identities ⋮ Singular vectors in logarithmic conformal field theories ⋮ Affine Jordan cells, logarithmic correlators, and Hamiltonian reduction ⋮ Four-point functions in logarithmic conformal field theories ⋮ PRELOGARITHMIC OPERATORS AND JORDAN BLOCKS IN SL(2)_k AFFINE ALGEBRA ⋮ The ABC (in any D) of logarithmic CFT ⋮ Implications of space-time foam for entanglement correlations of neutral kaons ⋮ The Neveu-Schwarz and Ramond algebras of logarithmic superconformal field theory ⋮ Extended multiplet structure in logarithmic conformal field theories ⋮ Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings ⋮ Boundary logarithmic conformal field theory. ⋮ Logarithmic conformal field theory through nilpotent conformal dimensions ⋮ Quenched averaged correlation functions of the random magnets ⋮ Quantizing field theories in noncommutative geometry and the correspondence between anti de Sitter space and conformal field theory ⋮ Symplectic fermions ⋮ Short-cut to new anomalies in gravity duals to logarithmic conformal field theories ⋮ Legendre's relation and the quantum equivalence osp\((4|4)_1 = \text{osp}(2|2)_{-2} \oplus su(2)_0\) ⋮ Logarithmic currents in the \(SU(2)_0\) WZNW model ⋮ Towards the construction of local logarithmic conformal field theories ⋮ Fusion rules and logarithmic representations of a WZW model at fractional level ⋮ BITS AND PIECES IN LOGARITHMIC CONFORMAL FIELD THEORY ⋮ AN ALGEBRAIC APPROACH TO LOGARITHMIC CONFORMAL FIELD THEORY ⋮ DISORDERED SYSTEMS AND LOGARITHMIC CONFORMAL FIELD THEORY ⋮ USE OF NILPOTENT WEIGHTS IN LOGARITHMIC CONFORMAL FIELD THEORIES ⋮ STRESS ENERGY TENSOR IN LCFT AND LOGARITHMIC SUGAWARA CONSTRUCTION ⋮ BITS AND PIECES IN LOGARITHMIC CONFORMAL FIELD THEORY ⋮ Disordered Dirac fermions: Multifractality termination and logarithmic conformal field theories ⋮ A local logarithmic conformal field theory ⋮ Fusion algebra of critical percolation ⋮ JORDAN CELLS IN LOGARITHMIC LIMITS OF CONFORMAL FIELD THEORY ⋮ Physical Ageing and New Representations of Some Lie Algebras of Local Scale-Invariance ⋮ Logarithmic conformal field theories via logarithmic deformations ⋮ Operator product expansion in logarithmic conformal field theory ⋮ On conformal Jordan cells of finite and infinite rank

Cites Work

• Non-unitary conformal field theory and logarithmic operators for disordered systems
• Infinite conformal symmetry in two-dimensional quantum field theory
• Turbulent two-dimensional magnetohydrodynamics and conformal field theory
• On gravitational dressing of 2D field theories in chiral gauge.
• Two-dimensional turbulence: A novel approach via logarithmic conformal field theory
• World-sheet logarithmic operators and target space symmetries in string theory
• Logarithmic operators and hidden continuous symmetry in critical disordered models
• Logarithmic operators in conformal field theory
• Chiral operator product algebra and edge excitations of a fractional quantum Hall droplet
• D Branes from Liouville Strings
• COSET REALIZATION OF UNIFYING ${\mathcal W}$ ALGEBRAS
• ON MODULAR INVARIANT PARTITION FUNCTIONS OF CONFORMAL FIELD THEORIES WITH LOGARITHMIC OPERATORS

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