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Modified Bethe Ansatz for models without U(1) symmetry
Samuel Belliard (IPhT, CEA, Saclay)
I will 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 spins chain on the circle with a twisted boundary condition, the Bethe vectors and associated eigenvalues will be constructed and the correlation function problem will be discussed. This method also works for the XXX and XXZ Heisenberg spins chains on the segment.