# Balazs Pozsgay: Algebraic construction of current operators in integrable spin chains

Source: Mathematical physics seminar

**Balazs Pozsgay*** (**Budapest University of Technology and Economics***)**

Integrable models possess infinite families of conserved charges. The current operators that describe the flow of these charges play a special role in the non-equilibrium dynamics of these systems. It was known since beginning of the 80's that in spin chains the charge operators can be constructed using the Quantum Inverse Scattering Method (QISM), pioneered by the Leningrad group. In this talk we show that the current operators can also be constructed within the QISM, using standard tools of Yang-Baxter integrability. This leads to a simple derivation of their mean values, important for Generalized Hydrodynamics. The construction is rather general, it applies to ,,all'' local spin chains. We also discuss connections to the theory of factorized correlation functions, and to AdS/CFT through the long range deformed models.

**Zoom link:**

https://fmf-uni-lj-si.zoom.us/j/99208844366?pwd=Mm9Xa3F1Nzl6emExNEZ6UGpqTEFiUT09

Meeting ID: 992 0884 4366

Password: 968128