Analytical Bethe Ansatz for closed and open gl(M|N) super-spin chains in arbitrary representations and for any Dynkin diagram
High Energy Physics - Theory
2015-09-18 v3
Abstract
We present the analytical Bethe ansatz for spin chains based on the superalgebras gl(M|N), , with at each site an arbitrary representation (and including inhomogeneities). The calculation is done for closed and open spin chains. In this latter case, the boundary matrices are of general type, provided they commute. We compute the Bethe ansatz equations in full generality, and for any type of Dynkin diagram. Examples are worked out to illustrate the techniques.
Keywords
Cite
@article{arxiv.0706.3327,
title = {Analytical Bethe Ansatz for closed and open gl(M|N) super-spin chains in arbitrary representations and for any Dynkin diagram},
author = {E. Ragoucy and G. Satta},
journal= {arXiv preprint arXiv:0706.3327},
year = {2015}
}
Comments
40 pages; misprints and some references corrected; some mistakes in the expression of the vacuum eigenvalue for the open case corrected (we are grateful to R. Nepomechie who pointed them out)