Bethe equations for generalized Hubbard models

Abstract

We compute the eigenfunctions, energies and Bethe equations for a class of generalized integrable Hubbard models based on gl(n|m) ⊕ gl(2) superalgebras. The Bethe equations appear to be similar to the Hubbard model ones, up to a phase due to the integration of a subset of 'simple' Bethe equations. We discuss relations with AdS/CFT correspondence, and with condensed matter physics.

Including a phase in the Bethe equations of the Hubbard model

“…We will take the result from [18] (section on permutation problem of (gl(n|m) ⊕ gl (2) (A.75) One can remark that if we set k = m − 1 in the above condition, we recover the relation (A.74). This result ends the first subcase.…”