4pm - 5pm

Tuesday 24 May 2022

Jordan blocks and the Bethe ansatz: the eclectic spin chain as a limit

A seminar in the Fields, Strings, and Geometry Group research seminar series.

39/40 AA 04
University of Surrey
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In this talk, I will present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisable limit of its eigenvectors. As an example, I will show how to compute a subset of the spectrum of the eclectic spin chain by computing the appropriate limit of the Bethe states of a twisted su(3) spin chain.