Published March 14, 2014 | Version v1
Journal article

Bethe vectors of quantum integrable models based on Uq( gl-hat N)

  • 1. Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow reg. (Russian Federation)
  • 2. Laboratoire de Physique Théorique LAPTH, CNRS and Université de Savoie, BP 110, F-74941 Annecy-le-Vieux Cedex (France)
  • 3. Steklov Mathematical Institute, Moscow (Russian Federation)

Description

We study quantum Uq( gl-hat N) integrable models solvable by the nested algebraic Bethe ansatz. Different formulas are given for the right and left universal off-shell nested Bethe vectors. It is shown that these formulas can be related by certain morphisms of the positive Borel subalgebra in Uq( gl-hat N) into analogous subalgebra in Uq−1( gl-hat N). (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/47/10/105202

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
47
Journal Issue
10
Journal Page Range
[16 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
46033025
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; QUANTUM MECHANICS; VECTORS
Descriptors DEC
MATHEMATICS; MECHANICS; TENSORS