Algebraic structures and eigenstates for integrable collective field theories

DOI10.1007/BF02096570zbMath0769.58029arXivhep-th/9202065MaRDI QIDQ1207990

Jean Avan, Antal Jevicki

Publication date: 16 May 1993

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

Full work available at URL: https://arxiv.org/abs/hep-th/9202065

zbMATH Keywords

string theorycomplete integrabilitycollective field theories

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie (super)algebras to physics, etc. (17B81) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (8)

Interacting theory of collective and topological fields in 2 dimensions ⋮ Collective field theory, Calogero-Sutherland model and generalized matrix models ⋮ Collective field theory of the matrix-vector models ⋮ Integrable extensions of the rational and trigonometric \(A_N\) Calogero-Moser potentials ⋮ Observable algebras for the rational and trigonometric Euler-Calogero-Moser models ⋮ States and quantum effects in the collective field theory of a deformed matrix model ⋮ Quasi-classical limit of Toda hierarchy and \(W\)-infinity symmetries ⋮ Quantum and classical aspects of deformed \(c=1\) strings

Cites Work

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• PERTURBATIVE RESULTS OF COLLECTIVE STRING FIELD THEORY
• STRING FIELD ACTIONS FROM W_∞
• STRING FIELD THEORY AND PHYSICAL INTERPRETATION OF D=1 STRINGS
• Extended conformal symmetries and U(1) currents
• FROM LOOPS TO FIELDS IN 2D QUANTUM GRAVITY

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