89 citations · 652 across the 38 of their papers we have counts for
19 papers · 1 filter
Non-relativistic scattering of a spin-1/2 particle off a self-dual monopole
L. Feher, P. A. Horvathy
The non-relativistic scattering of a spin-1/2 particle off a self-dual monopole reduces, for large distances, to the dyon problem, studied previously by D'Hoker and Vinet. The S ma…
Dynamical symmetry of the Kaluza-Klein monopole
L. Feher, P. A. Horvathy
The Kepler-type dynamical symmetries of the Kaluza-Klein monopole are reviewed. At the classical level, the conservation of the angular momentum and of a Runge-Lenz vector imply th…
Dynamical r-matrices and Poisson-Lie symmetries in the chiral WZNW model
L. Feher
We briefly review the possible Poisson structures on the chiral WZNW phase space and discuss the associated Poisson-Lie groupoids. Many interesting dynamical r-matrices appear natu…
On interpretations and constructions of classical dynamical r-matrices
L. Feher, A. Gabor
In this note we complement recent results on the exchange -matrices appearing in the chiral WZNW model by providing a direct, purely finite-dimensional description of the relati…
Classical Wakimoto Realizations of Chiral WZNW Bloch Waves
J. Balog, L. Feher, L. Palla
It is well-known that the chiral WZNW Bloch waves satisfy a quadratic classical exchange algebra which implies the affine Kac-Moody algebra for the corresponding currents. We here…
Chiral Extensions of the WZNW Phase Space, Poisson-Lie Symmetries and Groupoids
J. Balog, L. Feher, L. Palla
The chiral WZNW symplectic form is inverted in the general case. Thereby a precise relationship between the arbitrary monodromy dependent 2-form appearing in $Ω^ρ_{chi…
Ghost Systems: A Vertex Algebra Point of View
W. Eholzer, L. Feher, A. Honecker
Fermionic and bosonic ghost systems are defined each in terms of a single vertex algebra which admits a one-parameter family of conformal structures. The observation that these str…
Coadjoint orbits of the Virasoro algebra and the global Liouville equation
J. Balog, L. Fehér, L. Palla
The classification of the coadjoint orbits of the Virasoro algebra is reviewed and is then applied to analyze the so-called global Liouville equation. The review is self-contained,…
Wakimoto realizations of current algebras: an explicit construction
Jan de Boer, Laszlo Feher
A generalized Wakimoto realization of can be associated with each parabolic subalgebra of a simple Lie algebra a…
An explicit construction of Wakimoto realizations of current algebras
Jan de Boer, Laszlo Feher
It is known from a work of Feigin and Frenkel that a Wakimoto type, generalized free field realization of the current algebra can be associated with each parab…
Regularization of Toda lattices by Hamiltonian reduction
Laszlo Feher, Izumi Tsutsui
The Toda lattice defined by the Hamiltonian with , which exhibits singular (blowing up)…
KdV type systems and W-algebras in the Drinfeld-Sokolov approach
Laszlo Feher
The generalized Drinfeld-Sokolov construction of KdV systems is reviewed in the case of an arbitrary affine Lie algebra paying particular attention to Hamiltonian aspects and $\W$-…
Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction
Laszlo Feher, Ian Marshall
The matrix version of the -KdV hierarchy has been recently treated as the reduced system arising in a Drinfeld-Sokolov type Hamiltonian symmetry reduction applied to…
A Class of W-Algebras with Infinitely Generated Classical Limit
J. de Boer, L. Feher, A. Honecker
There is a relatively well understood class of deformable W-algebras, resulting from Drinfeld-Sokolov (DS) type reductions of Kac-Moody algebras, which are Poisson bracket algebras…
The vacuum preserving Lie algebra of a classical W-algebra
L. Feher, L. O'Raifeartaigh, I. Tsutsui
We simplify and generalize an argument due to Bowcock and Watts showing that one can associate a finite Lie algebra (the `classical vacuum preserving algebra') containing the Möbiu…
On the Completeness of the Set of Classical W-Algebras Obtained from DS Reductions
L. Feher, L. O'Raifeartaigh, P. Ruelle +1
We clarify the notion of the DS --- generalized Drinfeld-Sokolov --- reduction approach to classical -algebras. We first strengthen an earlier theorem which showed that a…
Generalized Drinfeld-Sokolov Hierarchies and W-Algebras
L. Feher
We review the construction of Drinfeld-Sokolov type hierarchies and classical W-algebras in a Hamiltonian symmetry reduction framework. We describe the list of graded regular eleme…
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…
On the General Structure of Hamiltonian Reductions of the Wznw Theory
L. Feher, L. O'raifeartaigh, P. Ruelle +2
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 giv…