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Exact Yangian symmetry in the classical EulerCalogeroMoser
, 1994
"... We compute the rmatrix for the elliptic EulerCalogeroMoser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry. PAR LPTHE 9403 ..."
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Cited by 9 (1 self)
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We compute the rmatrix for the elliptic EulerCalogeroMoser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry. PAR LPTHE 9403
Observable Algebras for the Rational and Trigonometric EulerCalogeroMoser Models
, 1994
"... We construct polynomial Poisson algebras of observables for the classical EulerCalogeroMoser (ECM) models. The conserved Hamiltonians and symmetry algebras derived in a previous work are subsets of these algebras. We define their linear, N → ∞ limits, realizing W ∞ type algebras coupled to curren ..."
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Cited by 2 (0 self)
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We construct polynomial Poisson algebras of observables for the classical EulerCalogeroMoser (ECM) models. The conserved Hamiltonians and symmetry algebras derived in a previous work are subsets of these algebras. We define their linear, N → ∞ limits, realizing W ∞ type algebras coupled
Integral Representations of Solutions of the Elliptic KnizhnikZamolodchikovBernard equations
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, 1995
"... We give an integral representation of solutions of the elliptic Knizhnik–Zamolodchikov–Bernard equations for arbitrary simple Lie algebras. If the level is a positive integer, we obtain formulas for conformal blocks of the WZW model on a torus. The asymptotics of our solutions at critical level gi ..."
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Cited by 51 (19 self)
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gives eigenfunctions of Euler–Calogero–Moser integrable Nbody systems. As a byproduct, we obtain some remarkable integral identities involving classical theta functions.
DAMTP/9401 hepth/9401049 Dynamical rmatrices and Separation of Variables: The Generalised CalogeroMoser Model
, 1994
"... ABSTRACT A generalisation of the classical CalogeroMoser model obtained by coupling it to the Gaudin model is considered. The recently found classical dynamical rmatrix [E. Billey, J. Avan and O. Babelon, PAR LPTHE 9355] for the EulerCalogeroMoser model is used to separate variables for this ge ..."
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ABSTRACT A generalisation of the classical CalogeroMoser model obtained by coupling it to the Gaudin model is considered. The recently found classical dynamical rmatrix [E. Billey, J. Avan and O. Babelon, PAR LPTHE 9355] for the EulerCalogeroMoser model is used to separate variables