A one-parameter family of Hamiltonian structures for the KP hierarchy and a continuous deformation of the nonlinear \(W_{\text{KP}}\) algebra

DOI10.1007/BF02097230zbMath0787.35088arXivhep-th/9207092MaRDI QIDQ1313279

Eduardo Ramos, Javier Mas, José M. Figueroa-O'Farrill

Publication date: 6 February 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9207092

zbMATH Keywords

reductionKP hierarchyclassical limitgeneralized Adler map

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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• NonlinearW<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">^</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>current algebra in the SL(2,R)/U(1) coset model