A((2 vertical bar 1)) spectral equivalences and nonlocal integrals of motion

作者：Assis P E G^*

来源：Journal of Physics A-Mathematical and Theoretical, 2013, 46(19): 195204.

DOI：10.1088/1751-8113/46/19/195204

We study the spectral correspondence between a particular class of Schrodinger equations and a supersymmetric quantum integrable model. The latter, a quantized version of the Ablowitz-Kaupp-Newell-Segur hierarchy of nonlinear equations, corresponds to the thermodynamic limit of the Perk-Schultz lattice model. By analyzing the symmetries of the ordinary differential equation in the complex plane, it is possible to obtain important objects in the quantum integrable model in an exact form, under an exact spectral correspondence. In this paper, our main interest lies on the set of nonlocal conserved integrals of motion associated with the integrable system and we provide a systematic method to compute their values evaluated on the vacuum state of the quantum field theory.

• 出版日期2013-5-17