Logarithmic Operators in Conformal Field Theory and the ${\mathcal W}_\infty$-Algebra

DOI10.1142/S0217751X97001912zbMath0899.17015arXivhep-th/9604007OpenAlexW2121427292MaRDI QIDQ4211935

M. Reza Rahimi Tabar, Azizollah Shafiekhani

Publication date: 15 October 1998

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9604007

zbMATH Keywords

correlation functionsconformal field theoriesBorel subalgebraoperator product expansiondifferential realizationlogarithmic operators\({\mathcal W}_\infty\)-algebra

Mathematics Subject Classification ID

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)

Related Items (11)

D-BRANE RECOIL MISLAYS INFORMATION ⋮ The \(O(n)\) model in the \(n\rightarrow 0\) limit (self-avoiding-walks) and logarithmic conformal field theory ⋮ Quenched averaged correlation functions of the random magnets ⋮ Symplectic fermions ⋮ Legendre's relation and the quantum equivalence osp\((4|4)_1 = \text{osp}(2|2)_{-2} \oplus su(2)_0\) ⋮ BITS AND PIECES IN LOGARITHMIC CONFORMAL FIELD THEORY ⋮ AN ALGEBRAIC APPROACH TO LOGARITHMIC CONFORMAL FIELD THEORY ⋮ DISORDERED SYSTEMS AND LOGARITHMIC CONFORMAL FIELD THEORY ⋮ Two-dimensional turbulence: A novel approach via logarithmic conformal field theory ⋮ BITS AND PIECES IN LOGARITHMIC CONFORMAL FIELD THEORY ⋮ A local logarithmic conformal field theory

Cites Work

• Infinite conformal symmetry in two-dimensional quantum field theory
• Turbulent two-dimensional magnetohydrodynamics and conformal field theory
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• 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
• Exactly marginal operators and running coupling constants in two-dimensional gravity.
• Logarithmic operators in conformal field theory
• Chiral operator product algebra and edge excitations of a fractional quantum Hall droplet
• U_q(sl(n)) DIFFERENCE OPERATOR REALIZATION
• ON MODULAR INVARIANT PARTITION FUNCTIONS OF CONFORMAL FIELD THEORIES WITH LOGARITHMIC OPERATORS
• Free field representation of \(\text{osp}(2|1)\) and \(\text{U}_q(\text{osp}(2|1))\) and \(N=1\) \((q\)-)superstring correlation functions

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