Random matrices, vertex operators and the Virasoro algebra

DOI10.1016/0375-9601(95)00725-IzbMath0925.58032OpenAlexW2012238557MaRDI QIDQ5917716

Takahiro Shiota, Mark Adler, Pierre van Moerbeke

Publication date: 15 November 1995

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00725-i

zbMATH Keywords

random matricesprobability distributionFredholm determinantsVirasoro algebravertex operatorsmatrix modelsVirasoro vector fieldsPainlevé distributionsToda symmetries

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Probability theory on algebraic and topological structures (60B99)

Related Items

Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials, Non-intersecting Brownian motions leaving from and going to several points, Random matrices, Virasoro algebras, and noncommutative KP., Painlevé II in random matrix theory and related fields, Integrable aspects of universal quantum transport in chaotic cavities

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