We show that the Yang-Baxter equation is equivalent to the associativity of the algebra generated by non-commuting link operators. Starting from these link operators we build out the (FFZ) algebras, the slq(2) is derived by considering a special combination of the generators of (FFZ) algebra. MIRAMARE – TRIESTE September 1998 Junior Associate of the Abdus Salam ICTP. E-mail: [email protected] Regu...

Over the last two decades, extended objects in field theories called solitons have played an important role in particle physics and astrophysics. In certain cases, these solitons possess a conserved topological charge, which guarantees their stability. There are other extended field configurations, however, which are not topological; these “nontopological solitons” are stable for dynamical reas...

Title: Bioactivity of essential oils extracted from Cupressus macrocarpa branchlets and Corymbia citriodora leaves grown in Egypt Authors: Mohamed Salem ([email protected]) Hosam Elansary ([email protected]) Hayssam Ali ([email protected]) Ahmed El-Settawy ([email protected]) Mohamed Elshikh ([email protected]) Eslam Abdel-Salam ([email protected]) Krystyna Sk...

The old Weyl's idea of scale recalibration freedom and the Infeld's and van der Waerden's (IW) ideas concerning geometrical interpretation of the natural spinor phase gauge symmetry are discussed in the context of modern models of fundamental particle interactions. It is argued that IW gauge symmetry can be naturaly identified with U (1) symmetry of Weinberg-Salam model. It is also argued that ...

We extend previously proposed generalized gauge theory formulation of ChernSimons type and topological Yang-Mills type actions into Yang-Mills type actions. We formulate gauge fields and Dirac-Kähler matter fermions by all degrees of differential forms. The simplest version of the model which includes only zero and one form gauge fields accommodated with the graded Lie algebra of SU(2|1) superg...

We explore the possibility of embedding the Pati–Salam model in the context of Type I brane models. We study a generic model with U(4) C × U(2) L × U(2) R gauge symmetry and matter fields compatible with a Type I brane configuration. Examining the anomaly cancellation conditions of the surplus abelian symmetries we find an alternative hypercharge embedding that is compatible with a low string/b...

We present an operator approach to Rogers-type formulas and Mehler’s formulas for the Al-Salam-Carlitz polynomials Un(x, y, a; q). By using the q-exponential operator, we obtain a Rogers-type formula which leads to a linearization formula. With the aid of a bivariate augmentation operator, we get a simple derivation of Mehler’s formula due to AlSalam and Carlitz. By means of the Cauchy companio...