Hermitian matrix models with nonholomorphic potential

DOI10.1023/A:1007329316418zbMATH Open0885.58033OpenAlexW42883488MaRDI QIDQ675848

Igor D. Aleinov

Publication date: 11 March 1997

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007329316418

zbMATH Keywords

scalingVirasoro constraintsHermitian matrix models

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) 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) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (7)

The geometry of the Hermitian matrix model and lattices for the NLS and dNLS hierarchies ⋮ Proof of the lagrangean formalism of hermitean 1-matrix models to all orders ⋮ The Hermitian matrix model and homogeneous spaces ⋮ Constructive matrix theory for higher order interaction. II: Hermitian and real symmetric cases ⋮ Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model ⋮ Two-matrix model with semiclassical potentials and extended Whitham hierarchy ⋮ UNIFIED DESCRIPTION OF CORRELATORS IN NON-GAUSSIAN PHASES OF HERMITIAN MATRIX MODEL

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