This article is cited in 4 papers

The $R$-matrix factorization, $Q$-operator, and variable separation in the case of the $XXX$ spin chain with the $SL(2,\mathbb{C})$ symmetry group

S. È. Derkachev

St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia

Abstract: We show a connection between the $R$-matrix factorization, the Baxter $Q$-operator, and separation of variables in the example of an integrable spin chain with the $SL(2,\mathbb{C})$ symmetry group.

Keywords: Yang–Baxter equation, $Q$-operator, separation of variables.

Received: 19.11.2011

DOI: 10.4213/tmf6722

 English version: Theoretical and Mathematical Physics, 2011, 169:2, 1539–1550

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