Talk page
Title:
Hirota dynamics of quantum integrability
Speaker:
Abstract:
I review recent results of study of various integrable quantum systems by means of the underlying discrete classical Hirota dynamics completed by appropriate analyticity properties with respect to the spectral parameter. These methods can be applied to many diverse problems, such as quantum spin chains, quantum sigma models and the spectral problem in planar AdS/CFT correpondence. For the last one, the integrable Hirota dynamics of the AdS/CFT Y-system allows to reduce the last one to a finite set of non-linear integral equations for the exact spectrum of anomalous dimensions of 4-dimensional planar N=4 SYM theory. These equations are an efficient mean for analytic and numerical study of the spectrum.Related Papers:
Link:
Workshop: