Modified Bethe Ansatz for models without U(1) symmetry

by Samuel Belliard (LPTHE Paris)

Location: CYCL05, Louvain-la-Neuve
Time: Wednesday February 14, 2018 at 15:00

I present a modified version of the algebraic Bethe ansatz (MABA) that allows to characterize the eigenvalues and the eigenstates of spins chains without \(U(1)\) symmetry. In the case of the XXX Heisenberg spin chain on the circle with a twisted boundary condition, the Bethe vectors and associated eigenvalues will be constructed, the scalar product of these Bethe vectors will be discussed and a Modified Slavnov formula will be conjectured [Belliard, Pimenta (2015)]. This method also work for XXX and XXZ Heisenberg spin chain on the segment.