Showing 1992 · hep-thShow all

12 papers · 2 filters

hep-th1992★ 5 cited

The Algebra of Differential Operators on the Circle and

J. M. Figueroa-O'Farrill, E. Ramos

Radul has recently introduced a map from the Lie algebra of differential operators on the circle to . In this note we extend this map to , a recently introduced…

hep-th1992★ 242 cited

Symmetry structure of special geometries

B. de Wit, F. Vanderseypen, A. Van Proeyen

Using techniques from supergravity and dimensional reduction, we study the full isometry algebra of Kähler and quaternionic manifolds with special geometry. These two varieties are…

hep-th1992★ 2 cited

Generalised Virasoro Constructions from Affine Inonu-Wigner Contractions

Stany Schrans

We present a new method to find solutions of the Virasoro master equations for any affine Lie algebra . The basic idea is to consider first the simplified case of an I…

hep-th1992★ 11 cited

On the generalized Miura transformation

Alex Deckmyn

By generalizing the Miura transformation for $\Ww_N$ to other classical $\Ww$ algebras obtained by hamiltonian reduction, we find realisations of these algebras in terms of relativ…

hep-th1992★ 10 cited

A geometrical interpretation of classical W-transformations

J. M. Figueroa-O'Farrill, E. Ramos, S. Stanciu

We give a simple geometrical interpretation of classical $\W$-transformations as deformations of constant energy surfaces by canonical transformations on a two-dimensional phase sp…

hep-th1992★ 11 cited

The Topography of $\W_\infty$-Type Algebras

J. M. Figueroa-O'Farrill, J. Mas, E. Ramos

We chart out the landscape of $\Winfty$-type algebras using $\Wkpq$---a recently discovered one-parameter deformation of $\W_{\rm KP}$. We relate all hitherto known $\Winfty$-type…

hep-th1992★ 132 cited

Broken sigma-model isometries in very special geometry

Bernard de Wit, Antoine Van Proeyen

We show that the isometries of the manifold of scalars in supergravity in space-time dimensions can be broken by the supergravity interactions. The opposite conclusion…

hep-th1992★ 1 cited

On the two-boson picture of the KP hierarchy

J. M. Figueroa-O'Farrill, J. Mas, E. Ramos

A two-boson realization of the second hamiltonian structure for the KP hierarchy has recently appeared in the literature. Furthermore, it has been claimed that this is also a reali…

hep-th1992★ 41 cited

A One-Parameter Family of Hamiltonian Structures for the KP Hierarchy and a Continuous Deformation of the Nonlinear $\W_{\rm KP}$ Algebra

J. M. Figueroa-O'Farrill, J. Mas, E. Ramos

The KP hierarchy is hamiltonian relative to a one-parameter family of Poisson structures obtained from a generalized Adler map in the space of formal pseudodifferential symbols wit…

hep-th1992★ 15 cited

The regularized BRST Jacobian of pure Yang-Mills theory

F. De Jonghe, R. Siebelink, W. Troost +3

The Jacobian for infinitesimal BRST transformations of path integrals for pure Yang-Mills theory, viewed as a matrix $\unity +ΔJ$ in the space of Yang-Mills fields and (anti)ghosts…

hep-th1992★ 6 cited

Nonlocal regularisation and two-dimensional induced actions

F. De Jonghe, R. Siebelink, W. Troost

We present an invariant regularisation scheme to compute two dimensional induced gauge theory actions, that is local in Polyakov's variables, but nonlocal in the original gauge pot…

hep-th1992★ 13 cited

The Classical Limit of W-Algebras

Jose M. Figueroa-O'Farrill, Eduardo Ramos

We define and compute explicitly the classical limit of the realizations of appearing as hamiltonian structures of generalized KdV hierarchies. The classical limit is obtaine…