Using a probabilistic interpretation of the Burau representation of the braid group offered by Vaughan Jones, we generalize the Burau representation to a representation of the semigroup of string links. This representation is determined by a linear system, and is dominated by finite type string link invariants. For positive string links, the representation matrix can be interpreted as the trans...

We consider the string, like point particles and branes, to be an irreducible representation of semi-direct product Cartan involution invariant subalgebra [Formula: see text] its vector representation. show that preserves string charges, little algebra, is essentially Borel text]. also known physical states carry a parts this algebra.

Representation and reproduction operators are important issues in Genetic Algo-rithms(GAs). When optimising numerical functions some researchers advocate using oating point representation instead of bit-string representation. Floating point representation is also used in Evolutionary Strategies(ESs) and Evolutionary Program-ming(EP). We show that it is not the representation that is responsible...

We recover a general representation for the quantum state of a relativistic closed line (loop) in terms of string degrees of freedom. The general form of the loop functional splits into the product of the Eguchi functional, encoding the holographic quantum dynamics, times the Polyakov path integral, taking into account the full Bulk dynamics, times a loop effective action, which is E-mail addre...

We explore the consequences of imposing Polyakov’s zig/zag-invariance in the search for a confining string. We first find that the requirement of zig/zaginvariance seems to be incompatible with spacetime supersymmetry. We then try to find zig/zag-invariant string backgrounds on which to implement the minimal-area prescription for the calculation of Wilson loops considering different possibiliti...

In this talk, various approaches to the problem of evaluation of the field strength correlators in the SU(3)-gluodynamics, which play the major rôle in the Stochastic Vacuum Model, are reviewed. This is done in the framework of the effective Abelian-projected theories under the various assumptions implied on the properties of the ensemble of Abelian-projected monopoles. In particular, within th...