On hamiltonian reductions of the Wess-Zumino-Novikov-Witten theories
The structure of Hamiltonian symmetry reductions of the Wess-Zumino-Novikov-Witten
(WZNW) theories by first class Kac-Moody (KM) constraints is analysed in detail. Lie …
(WZNW) theories by first class Kac-Moody (KM) constraints is analysed in detail. Lie …
A matrix integral solution to two-dimensionalWp-gravity
M Adler, P Van Moerbeke - Communications in mathematical physics, 1992 - Springer
The p th Gel'fand-Dickey equation and the string equation L, P= 1 have a common solution τ
expressible in terms of an integral over n× n Hermitean matrices (for large n), the integrand …
expressible in terms of an integral over n× n Hermitean matrices (for large n), the integrand …
ClassicalW-algebras
P Di Francesco, C Itzykson, JB Zuber - Communications in Mathematical …, 1991 - Springer
We reconsider the relation between classical W-algebras and deformations of differential
operators, emphasizing the consistency with diffeomorphisms. Generators of the W-algebra …
operators, emphasizing the consistency with diffeomorphisms. Generators of the W-algebra …
Lie superalgebraic approach to super Toda lattice and generalized super KdV equations
T Inami, H Kanno - Communications in mathematical physics, 1991 - Springer
We propose a super Lax type equation based on a certain class of Lie superalgebra as a
supersymmetric extension of generalized (modified) KdV hierarchy. We are able to construct …
supersymmetric extension of generalized (modified) KdV hierarchy. We are able to construct …
On the general structure of Hamiltonian reductions of the WZNW theory
The structure of Hamiltonian reductions of the Wess-Zumino-Novikov-Witten (WZNW) theory
by first class Kac-Moody constraints is analyzed in detail. Lie algebraic conditions are given …
by first class Kac-Moody constraints is analyzed in detail. Lie algebraic conditions are given …
Universal R matrices and invariants of quantum supergroups
A general method is developed for constructing invariants of quantum supergroups using
universal R matrices. Applied to U,(g1 (2/1)), this method yields the invariants of this …
universal R matrices. Applied to U,(g1 (2/1)), this method yields the invariants of this …
On the Gelfand–Dickey algebra GD(SLn) and the Wn‐symmetry. I. The bosonic case
EH Saidi, MB Sedra - Journal of Mathematical Physics, 1994 - pubs.aip.org
The algebra Ξ of nonlinear (local and nonlocal) differential operators, acting on the ring of
analytic functions, is studied. It is shown in particular that this space splits into 3× 2 special …
analytic functions, is studied. It is shown in particular that this space splits into 3× 2 special …
Some symmetries of quantum dimensions
J Fuchs, P van Driel - Journal of mathematical physics, 1990 - pubs.aip.org
It has recently become more and more clear that the relevance of quantum groups to physics
is not restricted to the theory of integrable systems. but that they playa major role in two …
is not restricted to the theory of integrable systems. but that they playa major role in two …
The origin of gauge symmetries in integrable systems of the KdV type
I Bakas, DA Depireux - International Journal of Modern Physics A, 1992 - World Scientific
Generalized systems of integrable nonlinear differential equations of the KdV type are
considered from the point of view of self-dual Yang-Mills theory in space-times with …
considered from the point of view of self-dual Yang-Mills theory in space-times with …
THE CONFORMAL ALGEBRA AND THE BOUSSINESQ HIERARCHY
P Mathieu, W Oevel - Modern Physics Letters A, 1991 - World Scientific
The classical algebra Polyakov is shown to be equivalent to the second Poisson structure of
a new integrable hierarchy of nonlinear equations. The hierarchy is related to the …
a new integrable hierarchy of nonlinear equations. The hierarchy is related to the …