0 v 2 2 N ov 1 99 4 NCKU - HEP / 94 - 01 27 October 1994 Spin Structure of the Proton

ar X iv : h ep - t h / 94 10 14 6 v 1 2 0 O ct 1 99 4 3 F 2 ( 1 ) hypergeometric function and quadratic R - matrix algebra Vadim

We construct a class of representations of the quadratic R-matrix algebra given by the reflection equation with the spectral parameter, R (u − v)T (u)R (u + v)T (v) = T (v)R (u + v)T (u)R (u − v), in terms of certain ordinary difference operators. These operators turn out to act as parameter shifting operators on the 3F 2(1) hypergeometric function and its limit cases and on classical orthogona...

/ 94 11 01 1 v 1 2 N ov 1 99 4 Lattice electrons in constant magnetic field : Bethe like ansatz

We use the functional representation of Heisenberg-Weyl group and obtain equation for the spectrum of the model, which is more complicated than Bethes ones, but can be written explicitly through theta functions.

ar X iv : h ep - p h / 94 11 35 0 v 1 2 1 N ov 1 99 4 SEARCHING FOR SUSY DARK MATTER

The possibility of detecting supersymmetric dark matter is examined within the framework of the minimal supergravity model (MSGM), where the˜Z 1 is the LSP for almost the entire parameter space. A brief discussion is given of experimental strategies for detecting dark matter. The relic density is constrained to obey 0.10 ≤ Ω ˜ Z 1 h 2 ≤0.35, consistent with COBE data. Expected event rates for a...

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 12 6 v 1 2 1 M ar 1 99 4 UU - ITP 01 / 94 HU - TFT - 93 - 65 hep -

The structure of equivariant cohomology in non-abelian localization formulas and topological field theories is discussed. Equivariance is formulated in terms of a nilpotent BRST symmetry, and another nilpotent operator which restricts the BRST cohomology onto the equivariant, or basic sector. A superfield formulation is presented and connections to reducible (BFV) quantization of topological Ya...