sigma06-074. 763KB Jun 04 2011 12:09:55 AM
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We study a way of q -deformation of the bi-local system, the two particle system bounded by a relativistic harmonic oscillator type of potential, from both points of view of
Recently, Sokolov and Wolf [1] applied the Kovalevskaya–Lyapunov test for integrability to a class of quadratic Hamiltonians and selected in this way five cases, out of which
For that, we take an inspiration from the case u = 0 where the sum of the left and right currents can be interpreted as the product in the Abelian cosymmetry group L K (the
We use this result and the formula of Le and Murakami for the Knizhnik–Zamolodchikov (KZ) associator Φ to derive a formula for log(Φ) in terms of MZV’s (multiple zeta values)..
This divergence is exactly the same which is found in the perturbative calculation for the quantum theory defined in the Groenewold–Moyal plane [ 22 ], therefore in this case
Rather it classifies integrable quantum field theoretic models and in addition provides their explicit exact solutions in term of all Wightman functions.. We achieve contact with
The Taub-NUT space has a special geometry where the covariantly constant K-Y tensors exist by virtue of the metric being self-dual and the Dirac-type operators generated by them
Using a homomorphism associated with the quantum Sylvester theorem, we provide an ex- plicit construction of the skew representations of the quantum affine algebra U q ( gl b n )..
