sigma11-029. 396KB Jun 04 2011 12:10:50 AM
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transformation is not only a time discretization of a one parameter family of continuous flows equipped with the same integrals of motion ( 1.3 ), ( 2.7 ), but it has also the
In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and compu- tation of
The dynamics is locally trivial or topological in the pure gravity case, but we can construct a dynamical field theory with a z = 2 dispersion relation by introducing a dilaton
Surprisingly, the on-shell actions, with all auxiliary fields eliminated, admit a direct extension to the gauge group SU(N) and general self-dual backgrounds [ 19 , 20 , 21 ].. It
While generic solutions of the Painlev´e equations are “new transcendental functions”, there are special solutions which are expressible in terms of rational, algebraic, or
The parameter differentiation formulae given in [ 5 ] are derivatives for associated Legendre functions of the first and second kind with respect to the degree, evaluated
Key words: alternating sign matrices; Young tableaux; staircases; Schubert polynomials; integrable systems.. 2000 Mathematics Subject Classification:
In fact, our aim is, on the one hand, to present new Miura transformations between the ABS equations and Volterra-type difference equations and on the other hand, to show that the