On trigonometric intertwining vectors and nondynamical R matrix for the Ruijsenaars model - INSPIRE

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On trigonometric intertwining vectors and nondynamical R matrix for the Ruijsenaars model

A. Antonov
(
- Paris U., VI-VII and
- Landau Inst.
)
,
K. Hasegawa
(
- Tohoku U.
)
,
A. Zabrodin
(
- Moscow, Inst. Chem. Phys. and
- Moscow, ITEP
)

Apr, 1997

24 pages

Published in:

Nucl.Phys.B 503 (1997) 747-770

e-Print:

hep-th/9704074 [hep-th]

DOI:

10.1016/S0550-3213(97)00520-8

Report number:

PAR-LPTHE-97-09

View in:

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Abstract:

We elaborate the trigonometric version of intertwining vectors and factorized L-operators. The starting point is the corresponding elliptic construction with Belavin's R-matrix. The naive trigonometric limit is singular and a careful analysis is needed. It is shown that the construction admits several different trigonometric degenerations. As a by-product, a quantum Lax operator for the trigonometric Ruijsenaars model intertwined by a non-dynamical R-matrix is obtained. The latter differs from the standard trigonometric R-matrix of

A_n

type. A connection with the dynamical R-matrix approach is discussed.

Note:

20 pages, LaTeX Report-no: LPTHE 97-09

11.10.-z
Trigonometric Ruijsenaars model
Vertex-face correspondence
Quantum L-operator

References(33)

Figures(0)

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