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15 papers · 1 filter
Fusion and the Neveu-Schwarz Singular Vectors
L. Benoit, Y. Saint-Aubin
Bauer, Di Francesco, Itzykson and Zuber proposed recently an algorithm to construct all singular vectors of the Virasoro algebra. It is based on the decoupling of (already known) s…
Phase Space Quantum Mechanics on the Anti-De Sitter Spacetime and its Poincaré Contraction
A. M. El Gradechi, S. De Bièvre
In this work we propose an alternative description of the quantum mechanics of a massive and spinning free particle in anti-de~Sitter spacetime, using a phase space rather than a s…
Exactly Solvable Potentials and Quantum Algebras
V. Spiridonov
Self-similar potentials and corresponding symmetry algebras are briefly discussed. Talk presented at the XIXth ICGTMP, Salamanca, 29 June - 4July 1992.
Darboux Coordinates and Liouville-Arnold Integration in Loop Algebras
M. R. Adams, J. Harnad, J. Hurtubise
Darboux coordinates are constructed on rational coadjoint orbits of the positive frequency part $\wt{\frak{g}}^+$ of loop algebras. These are given by the values of the spectral pa…
Quasi-Periodic Solutions for matrix nonlinear Schroedinger Equations
M. A. Wisse
The Adler-Kostant-Symes theorem yields isospectral hamiltonian flows on the dual $\tilde\grg^{+*}$ of a Lie subalgebra $\tilde\grg^+$ of a loop algebra $\tilde\grg$. A general appr…
Isospectral flow in Loop Algebras and Quasiperiodic Solutions of the Sine-Gordon Equation
J. Harnad, M. -A. Wisse
The sine-Gordon equation is considered in the hamiltonian framework provided by the Adler-Kostant-Symes theorem. The phase space, a finite dimensional coadjoint orbit in the dual s…
Matrix Nonlinear Schrödinger Equations and Moment Maps into Loop Algebras
J. Harnad, M. -. Wisse
It is shown how Darboux coordinates on a reduced symplectic vector space may be used to parametrize the phase space on which the finite gap solutions of matrix nonlinear Schrödinge…
Generalized Drinfeld-Sokolov Reductions and KdV Type Hierarchies
L. Feher, John Harnad, I. Marshall
Generalized Drinfeld-Sokolov (DS) hierarchies are constructed through local reductions of Hamiltonian flows generated by monodromy invariants on the dual of a loop algebra. Followi…
Loops, Cutoffs and Anomalous Gauge Boson Couplings
David London, C. P. Burgess
We discuss several issues regarding analyses which use loop calculations to put constraints on anomalous trilinear gauge boson couplings (TGC's). Many such analyses give far too st…
Deformation of the Wakimoto construction
A. Abada, A. H. bougourzi, M. A. El Gradechi
We present the extension of the Wakimoto construction to the quantum current algebra and its associated quantum parafermion algebra. This construction is achieved i…
Deformation of Supersymmetric and Conformal Quantum Mechanics Through Affine Transformations
V. Spiridonov
Affine transformations (dilatations and translations) are used to define a deformation of one-dimensional supersymmetric quantum mechanics. Resulting physical systems do not…
On the Lagrangian Realization of the WZNW Reductions
I. Tsutsui, L. Feher
We develop a phase space path-integral approach for deriving the Lagrangian realization of the models defined by Hamiltonian reduction of the WZNW theory. We illustrate the uses of…
Rational vs Polynomial Character of W-Algebras
L. Feher, L. O'Raifeartaigh, P. Ruelle +1
The constraints proposed recently by Bershadsky to produce algebras are a mixture of first and second class constraints and are degenerate. We show that they admit a first-…
Deformed Conformal and Supersymmetric Quantum Mechanics
V. Spiridonov
Within the standard quantum mechanics a q-deformation of the simplest N=2 supersymmetry algebra is suggested. Resulting physical systems do not have conserved charges and degenerac…
Lax Pair Formulation of the W-gravity Theories in two Dimensions
J. M. Lina, P. K. Panigrahi
The Lax pair formulation of the two dimensional induced gravity in the light-cone gauge is extended to the more general theories. After presenting the and graviti…