arXiv subjects

Z. Jaskolski

Publications and source records attributed to Z. Jaskolski.

4 recordsLinked to original sources

arXiv1997

Smooth coalgebras

A complete mathematical framework for coalgebraic formulation of supergeometry and its infinite-dimensional extension is proposed. Within this approach a supermanifold is defined as a graded coalgebra endowed with a smooth structure. The category of such coalgebras is constructed and analysed. It is shown that it contains as its full subcategories both the category of smooth Fréchet manifolds and the category of finite-dimensional Berezin-Leites-Kostant supermanifolds.

math-ph↗

arXiv1997

Free strings in non-critical dimensions

The paper containes a classification of consistent free string models in physical dimensions and a brief discussion of recent results concerning relations between various models.

hep-th↗

arXiv1997

Non-Critical Light-Cone String

The free non-critical string quantum model is constructed directly in the light-cone variables in the range of dimensions $1<D<25$. The longitudinal degrees of freedom are described by an abstract Verma module. The central charge of this module is restricted by the requirement of the closure of the nonlinear realization of the Poincare algebra. The spin content of the model is analysed. In particular for D=4 the explicit formulae for the character generating functions of the open and closed massive strings are given and the spin spectrum of first 12 excited levels is calculated. It is shown that for the space-time dimension in the range $1<D<25$ the non-critical light-cone string is equivalent to the critical massive string and to the non-critical Nambu-Goto string.

hep-th↗

arXiv1995

Classical and quantum massive string

The classical and the quantum massive string model based on a modified BDHP action is analyzed in the range of dimensions $1<d<25$. The discussion concerning classical theory includes a formulation of the geometrical variational principle, a phase-space description of the two-dimensional dynamics, and a detailed analysis of the target space geometry of classical solutions. The model is quantized using "old" covariant method. In particular an appropriate construction of DDF operators is given and the no-ghost theorem is proved. For a critical value of one of free parameters of the model the quantum theory acquires an extra symmetry not present on the classical level. In this case the quantum model is equivalent to the noncritical Polyakov string and to the old Fairlie-Chodos-Thorn massive string.

hep-th↗