J ul 1 99 5 Spectrum generating algebra for X 3 molecules

X iv : h ep - p h / 96 01 25 5 v 3 9 J ul 1 99 6 Symmetry aspects of the pion leptoproduction and the upper limit of the Levelt - Mulders asymmetry ∗

X iv :h ep -p h/ 96 01 25 5v 3 9 J ul 1 99 6 Symmetry aspects of the pion leptoproduction and the upper limit of the Levelt-Mulders asymmetry∗ Wei Lu, Jian-Jun Yang 1 CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China and Institute of High Energy Physics, P.O. Box 918(4), Beijing 100039, P.R. China†, (e-mail: [email protected]) 2 Department of Physics, Nanjing Normal Univers...

ar X iv : h ep - t h / 93 07 07 1 v 1 9 J ul 1 99 3 The Algebra of Non - Local Charges in Non - Linear Sigma Models

We obtain the exact Dirac algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group O(N). As it turns out the algebra corresponds to a cubic deformation of the Kac-Moody algebra. The non-linear terms are computed in closed form. In each Dirac bracket we only find highest order terms (as explained in the pape...

X iv : h ep - p h / 96 07 25 7 v 1 8 J ul 1 99 6 Multiparton density matrix for the QCD - cascade in DLA approximation ∗

The multiparton density matrices of the QCD gluon cascade are investigated. The generating functional and master equation for momentum space multiparton density in the double logarithmic approximation (DLA) are proposed.

J ul 1 99 6 Associative subalgebras of the Griess algebra and related topics

6 J ul 1 99 9 L ∞ - algebra of an unobstructed deformation functor