sigma07-008. 255KB Jun 04 2011 12:09:58 AM
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The classification of simple finite Jordan superalgebras based on the structure theory of finite conformal Lie superalgebras [ 6 ] includes one series and two exceptional algebras [ 9
Using the constructed algebras we have obtained new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.. Further, more
But the effective theory ( 3.3 ) shows a second order transition from the symmetric to a antiferromagnetic phase and we can compare critical exponents at this transition with those
A similar structure applies to the 2 + 1 dimensional quantum Hall effect where the hierarchy of Hall plateaux can be understood in terms of an action of the modular group and
Since all matrix elements of local fields are known in many integrable models, it would seem appropriate to write the trace as an explicit sum over all states of the Hilbert space,
Our paper will be a first step in a complete Minkowski space Hamiltonian treatment of Liouville field theory on a strip with independent FZZT type boundary conditions on both
We apply the Separation of Variables method to obtain eigenvectors of commu- ting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction..
To justify the study of the dynamic of prolongations of flows, we consider the Lie algebra χ ( R n ) of vector fields on R n endowed with the weak topology, which is the topology of
