A one-parameter family of Hamiltonian structures for the KP hierarchy and a continuous deformation of the nonlinear \(W_{\text{KP}}\) algebra
From MaRDI portal
Publication:1313279
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
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)
Related Items
The algebra of q-pseudodifferential symbols and the q-WKP(n) algebra, \(\mathcal{W}\) symmetry in six dimensions, Exploring \(\mathcal W_{\infty}\) in the quadratic basis, Free-field realization of the \(W_{KP}^{(N)}\) algebra, Remarks on Hamiltonian structures of the KP hierarchy and \(W_{\text{KP}}^{(q)}\) algebra, Poisson-Lie group of pseudodifferential symbols, Galilean contractions of \(W\)-algebras, Structure constants of $ \newcommand{\n}{\mathcal{N}} \newcommand{\shsl} \boldsymbol {\mathfrak{shs}[\boldsymbol \lambda} \shsl\, $ : the deformed-oscillator point of view], New integrable differential-difference and fractional nonlinear dynamical systems and their algebro-analytical properties, Symmetries of holographic minimal models, New fractional nonlinear integrable Hamiltonian systems, Asymptotic \( \mathcal{W} \)-symmetries in three-dimensional higher-spin gauge theories, A geometry for multidimensional integrable systems, \(W_n^{(\kappa)}\) algebra associated with the Moyal KdV hierarchy, Super-\(W_\infty\) asymptotic symmetry of higher-spin AdS\(_3\) supergravity, Scalar fields and three-point functions in \(D=3\) higher spin gravity, On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators, Generalization of the algebra of the matrix pseudodifferential operators
Cites Work
- Unnamed Item
- Unnamed Item
- Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II
- Lie algebras and equations of Korteweg-de Vries type
- Hamiltonian structure of Sato's hierarchy of KP equations and a coadjoint orbit of a certain formal Lie group
- Exclusion statistics in conformal field theory -- generalized fermions and spinons for level-\(1\) WZW theories
- Existence and uniqueness of the universal W algebra
- The Hamiltonian structures associated with a generalized Lax operator
- 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