3,530 research outputs found
Dispersionless BKP Hierarchy and Quadrant L\"owner Equation
We show that -variable reduction of the dispersionless BKP hierarchy is
described by a L\"owner type equation for the quadrant
Algebraic Bethe Ansatz for XYZ Gaudin model
The eigenvectors of the Hamiltionians of the XYZ Gaudin model are constructed
by means of the algebraic Bethe Ansatz. The construction is based on the
quasi-classical limit of the corresponding results for the inhomogeneous higher
spin eight vertex model.Comment: 11 pages, Latex file; minor correction
Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. I
Trigonometric degeneration of the Baxter-Belavin elliptic r matrix is
described by the degeneration of the twisted WZW model on elliptic curves. The
spaces of conformal blocks and conformal coinvariants of the degenerate model
are factorised into those of the orbifold WZW model.Comment: 24 pages, 1 figure, contribution to ``Conformal Field Theory and
Integrable Models'', Chernogolovka, Moscow Region, Russia, on September
15--21, 2002; typos corrected, references added (v2); typos corrected, final
version (v3
Integrable Hierarchies and Dispersionless Limit
Analogues of the KP and the Toda lattice hierarchy called dispersionless KP
and Toda hierarchy are studied. Dressing operations in the dispersionless
hierarchies are introduced as a canonical transformation, quantization of which
is dressing operators of the ordinary KP and Toda hierarchy. An alternative
construction of general solutions of the ordinary KP and Toda hierarchy is
given as twistor construction which is quatization of the similar construction
of solutions of dispersionless hierarchies. These results as well as those
obtained in previous papers are presented with proofs and necessary technical
details.Comment: 63 pages, University of Tokyo preprint, UTMS 94-35. (AMS TeX ver.2.1)
(Typos are corrected and references are added.
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