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We investigate the symmetry algebras of integrable spin Calogero systems con- structed from Dunkl operators associated to finite Coxeter groups.. Based on two explicit examples, we
The fermion- antifermion operators generate a unitary Lie algebra, whose representations are fixed by a first order Casimir operator (corresponding to baryon number or
It is also shown that the boundary quantum algebra – emerging from the reflection algebra with no spectral parameter – provides in fact a symmetry for any generic open transfer
In the next Subsection we use free field resolutions (so called butterfly resolutions) of irre- ducible N = 2 Virasoro algebra modules to represent free field construction of
Our starting point is dynamics which is represented by classical equations of motion and its relation to an affine connection on a underlying configuration space M.. This connection
A conve- nient starting hypothesis which would explain the ubiquity of Lagrangian theories is to consider all successful Lagrangian theories as effective theories arising from
As this is similar in form to the corresponding equation for the VE, in Section 3 we use known results for the VE to generate implicit periodic and solitary- wave solutions to
The general fact that degree 2 component of any OZ vertex algebra has a commutative algebra structure with a symmetric invariant bilinear form is mentioned in this book as
