ar X iv : h ep - t h / 96 12 25 3 v 1 3 1 D ec 1 99 6 Supertraces on the algebra of observables of the rational Calogero model based on the classical root system

ar X iv : h ep - t h / 92 10 12 8 v 1 2 3 O ct 1 99 2 Classical R - matrix structure for the Calogero model

A classical R-matrix structure is described for the Lax representation of the integrable n-particle chains of Calogero-Olshanetski-Perelomov. This R-matrix is dynamical, non antisymmetric and non-invertible. It immediately triggers the integrability of the Type I, II and III potentials, and the algebraic structures associated with the Type V potential.

ar X iv : h ep - t h / 96 07 12 2 v 1 1 5 Ju l 1 99 6 Classical and quantum N = 1 super W ∞ - algebras

We construct higher-spin N=1 super algebras as extensions of the super Virasoro algebra containing generators for all spins s ≥ 3/2. We find two distinct classical (Poisson) algebras on the phase super space. Our results indicate that only one of them can be consistently quantized.

ar X iv : h ep - t h / 94 12 15 6 v 1 1 8 D ec 1 99 4 Quantal Overlapping Resonance Criterion : the Pullen Edmonds Model

ar X iv : h ep - t h / 96 12 02 0 v 1 2 D ec 1 99 6 Sphaleron in the dilatonic electroweak theory

A numerical study of static, spherically symmetric sphaleron solutions in the standard model coupled to the dilaton field is presented. We show that sphaleron is surrounded by strong dilaton cloud which vanishes inside the sphaleron.

ar X iv : h ep - t h / 96 12 17 5 v 1 1 7 D ec 1 99 6 Induced Gauge Structure of Quantum Mechanics on

The Ohnuki-Kitakado (O-K) scheme of quantum mechanics on S embedded in R is investigated. Generators satisfying the O-K algebra is written down explicitly in term of the induced gauge potential. A direct method is developed to obtain the generators in covariant form. It is seen that the Wu-Yang monopole (D = 2) and the zero size instanton (D = 3) emerge as the induced gauge potential. The relat...