Fast analytic solver of rational Bethe equations
arXiv:1608.06504 · doi:10.1088/1751-8121/aa6b88
Abstract
In this note we propose an approach for a fast analytic determination of all possible eigenstates of rational GL(N|M) integrable spin chains of given not too large length, in terms of Baxter Q-functions. We observe that all exceptional solutions, if any, are automatically correctly accounted. The key intuition behind the approach is that the equations on the Q-functions are determined solely by the Young diagram, and not by the choice of the rank of the GL symmetry. Hence we can choose arbitrary N and M that accommodate the desired representation. Then we consider all distinguished Q-functions at once, not only those following a certain Kac-Dynkin path.
12 pages, 4 figures. v2: minor changes, added discussion in Mathematica notebook
References in corpus (6)
Cited by in corpus (45)
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