Factorizing twists and R-matrices for representations of the quantum affine algebra U_q(\hat sl_2)

Abstract

We calculate factorizing twists in evaluation representations of the quantum affine algebra U_q(\hat sl_2). From the factorizing twists we derive a representation independent expression of the R-matrices of U_q(\hat sl_2). Comparing with the corresponding quantities for the Yangian Y(sl_2), it is shown that the U_q(\hat sl_2) results can be obtained by `replacing numbers by q-numbers'. Conversely, the limit q -> 1 exists in representations of U_q(\hat sl_2) and both the factorizing twists and the R-matrices of the Yangian Y(sl_2) are recovered in this limit.

19 pages, LaTeX

References in corpus (4)

• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• Resolution of the Nested Hierarchy for Rational sl(n) Models
• Polarization-free generators for the Belavin model
• Factorizing twists and the universal R-matrix of the Yangian Y(sl_2)

Cited by in corpus (1)

• Bethe Ansatz, Quantum Circuits, and the F-basis