2007/11/30 by Vladimir Kazakov, Pedro Vieira · 1 citation
Mathematics · Physics and Astronomy · #hep-th #math-ph #math.MP #math.QA #nlin.SI
paper · pdf · doi:10.1088/1126-6708/2008/10/050
published as JHEP 0810:050,2008 · 11 figures, references added
arxiv created 2008/04/30 · arxiv updated 2009/12/01
We give an elementary proof of the Bazhanov-Reshetikhin determinant formula for rational transfer matrices of the twisted quantum super-spin chains associated with the gl(K|M) algebra. This formula describes the most general fusion of transfer matrices in symmetric representations into arbitrary finite dimensional representations of the algebra and is at the heart of analytical Bethe ansatz approach. Our technique represents a systematic generalization of the usual Jacobi-Trudi formula for characters to its quantum analogue using certain group derivatives.