Collective field theory of the matrix-vector models

DOI10.1016/0550-3213(96)00147-2zbMath1004.81554arXivhep-th/9512147OpenAlexW2039967067MaRDI QIDQ1913520

Antal Jevicki, Jean Avan

Publication date: 15 May 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9512147

zbMATH Keywords

Jacobianscalar densityspin Calogero Moser modelsextended nonlinear algebrageneral quadratic Hamiltonianhermicity conditionsVirasoro current algebra

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 (10)

Yangian-invariant field theory of matrix-vector models ⋮ The cap in the hat: unoriented 2D strings and \(matrix(-vector)\) models ⋮ Supersymmetric SYK model: bi-local collective superfield/supermatrix formulation ⋮ CDT open-closed surface field theory of a 3D tensor-matrix model ⋮ Algebraic structure in \(0<c\leq1\) open-closed string field theories. ⋮ Causal dynamical triangulation for non-critical open-closed string field theory ⋮ LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION ⋮ Stochastic analysis \& discrete quantum systems ⋮ Multiparameter deformed and non-standard \(Y(\text{gl}_M)\) Yangian symmetry in a novel class of spin Calogero-Sutherland models ⋮ Generalized Calogero-Sutherland systems from many-matrix models

Cites Work

• Unnamed Item
• Mesons in the large-\(N\) collective field method
• A new class of integrable systems and its relation to solitons
• Algebraic structures and eigenstates for integrable collective field theories
• Loop space Hamiltonians and field theory of non-critical strings
• Spinons in conformal field theory
• Anyon basis of \(c=1\) conformal field theory
• Excited states of the Calogero-Sutherland model and singular vectors of the \(W_N\) algebra
• Exact Yangian symmetry in the classical Euler-Calogero-Moser model
• Observable algebras for the rational and trigonometric Euler-Calogero-Moser models
• Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
• Yang-Baxter equation in long-range interacting systems
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory

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