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Separation of variables for Gaudin–Calogero systems

Published online by Cambridge University Press:  04 December 2007

B. ENRIQUEZ ,
B. FEIGIN  and
V. RUBSTOV
B. ENRIQUEZ
Affiliation:
Centre de Mathématiques, U.R.A., 169 du C.N.R.S., Ecole Polytechnique, 91128 Palaiseau, France.
B. FEIGIN
Affiliation:
Landau Inst. for Theor. Physics, Kosygina 2, GSP-1, 117940 Moscow V-334, Russia.
V. RUBSTOV
Affiliation:
ITEP, Bol. Cheremushkinskaya, 25, 117259, Moscow, Russia.
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Abstract

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We construct an elliptic analogue of Sklyanin‘s separation of variables for the sl(2) Gaudin system, using an adaptation of Drinfeld‘s Radon transformations.

Keywords

separation of variablesLanglands–Drinfeld correspondenceRandon transform.
Type
Research Article
Information
Compositio Mathematica , Volume 110 , Issue 1 , January 1998 , pp. 1 - 16
Copyright
© 1998 Kluwer Academic Publishers