ar X iv : h ep - t h / 94 10 24 1 v 3 6 N ov 1 99 4 Introduction to Braided Geometry and q - Minkowski Space

ar X iv : h ep - t h / 94 10 11 8 v 2 2 2 N ov 1 99 4 WILSON LOOPS , qq̄ and 3 q POTENTIALS , BETHE – SALPETER EQUATION

ar X iv : h ep - t h / 94 03 15 4 v 1 2 5 M ar 1 99 4 Interrelations between Quantum Groups and Reflection Equation ( Braided ) Algebras

We show that the differential complex Ω B over the braided matrix algebra BM q (N) represents a covariant comodule with respect to the coaction of the Hopf algebra Ω A which is a differential extension of GL q (N). On the other hand, the algebra Ω A is a covariant braided comodule with respect to the coaction of the braided Hopf algebra Ω B. Geometrical aspects of these results are discussed.

ar X iv : h ep - t h / 99 11 02 7 v 1 4 N ov 1 99 9 Holography and the Future Tube

The Future Tube T + n of n-dimensional Minkowski spacetime may be identified with the reduced phase space P , or " space of motions " of a particle moving in (n + 1)-dimensional Anti-de-Sitter Spacetime. Both are isomorphic to a homogeneous bounded domain in C n whose Shilov boundary may be identified with n-dimensional conformally compactified Minkowski spacetime.

ar X iv : h ep - p h / 94 11 26 3 v 1 1 0 N ov 1 99 4 ISU – NP – 94 – 14 Massive Schwinger Model for Small Fermion Mass

We examine QED 1+1 (the massive Schwinger model) to extend existing perturbation results in m f /m b , and compare our results with lattice and DLCQ calculations.

ar X iv : h ep - t h / 94 11 16 2 v 1 2 2 N ov 1 99 4 Anti - de Sitter spinning particle and two - sphere

We propose the action of d = 4 Anti-de Sitter (AdS) spinning particle with arbitrary fixed quantum numbers. Regardless of the spin value, the configuration space is M4ρ × S 2 where M4ρ is d = 4 AdS space, and two-dimensional sphere S corresponds to spinning degrees of freedom. The model is an AdS counterpart of the massive spinning particle in the Minkowski space proposed earlier. Being AdS-inv...