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

ar X iv : h ep - t h / 93 10 11 7 v 1 1 9 O ct 1 99 3 QUANTUM κ - POINCARE IN ANY DIMENSION

The κ-deformation of the D-dimensional Poincaré algebra (D ≥ 2) with any signature is given. Further the quadratic Poisson brackets, determined by the classical r-matrix are calculated, and the quantum Poincaré group " with noncommuting parameters " is obtained.

ar X iv : h ep - t h / 94 08 14 5 v 2 3 0 A ug 1 99 4 THE EXPONENTIAL MAP FOR THE UNITARY GROUP SU ( 2 , 2 )

In this article we extend our previous results for the orthogonal group, SO(2, 4), to its homomorphic group SU (2, 2). Here we present a closed, finite formula for the exponential of a 4 × 4 traceless matrix, which can be viewed as the generator (Lie algebra elements) of the SL(4, C) group. We apply this result to the SU (2, 2) group, which Lie algebra can be represented by the Dirac matrices, ...

ar X iv : h ep - t h / 99 03 05 4 v 2 2 0 O ct 1 99 9 INJE - TP - 99 - 2 Scattering from an AdS 3 bubble and an exact AdS

ar X iv : h ep - p h / 94 09 38 8 v 2 1 2 O ct 1 99 4 INLO -

Motivated by the precision results in the electroweak theory studies of two-loop Feynman diagrams are performed. Specifically this paper gives a contribution to the knowledge of massive two-loop selfenergy diagrams in arbitrary and especially four dimensions. This is done in three respects: firstly results in terms of generalized, multivariable hypergeometric functions are presented giving expl...

ar X iv : h ep - p h / 99 10 24 8 v 1 6 O ct 1 99 9 1 Effect of σ ( 600 ) - Production in pp̄ → 3 π 0 at rest