The Poisson gauge algebra is a semi-classical limit of complete non-commutative algebra. In the present work we formulate theory which dynamical field theoretical model having as corresponding symmetries. proposed designed to investigate features full with coordinate dependent non-commutativity $\Theta^{ab}(x)$, especially whose non-constant rank. We derive expression for covariant derivative m...

Structural and magnetic properties of purine and pyrimidine nucleotides (CMP, UMP, dTMP, AMP, GMP, IMP) were studied at different levels of ab initio molecular orbital theory. These calculations were performed at the hartree-fock level and density functional B3LYP methods. Geometries were fully optimized by following Cs symmetry restrictions. The standard 6-31G** basis set which includes polari...

We consider brane configurations in M-theory describing N = 1 supersymmetric gauge theories. Using the parametric representation of the brane configurations, we calculate the superpotentials for various cases including multiple gauge groups or fermions. For SU(n) N = 1 SQCD with Nf fermion case (Nf < Nc), we find that the superpotential from M-theory and the gauge theory agree precisly. This gi...

A formalism is presented where gauge theories for nonabelian groups can be constructed on a noncommutative algebra.

Gauge fixing is a frequent task encountered in practical lattice gauge theory calculations. We review the performance characteristics of some standard gauging procedures for non-Abelian gauge theories, implemented on the parallel machines CM2 and CM5. †

We present a brief review on the canonical transformation description of some duality symmetries in string and gauge theories. In particular, we consider abelian and non-abelian T-dualities in closed and open string theories as well as S-duality in abelian and non-abelian non-supersymmetric gauge theories. THU-96/36 hep-th/9610024 October 1996 Talk given at the Argonne Duality Institute, June 2...