OKC/Nordita High-Energy Physics Theory seminar

Aspects of Entanglement of excited 2d holographic states

by Radoslav Rashkov (Sofia University & Vienna University of Technology)

132:028 (Nordita East)

132:028 (Nordita East)

One of the main issues in holographic correspondence is the bulk theory reconstruction. The main object in that is the entanglement entropy. In this talk I’ll focus on the “building blocks” of entanglement entropy of excited 2d holographic states and some curious relations. As an outcome, the representation of the expression for entanglement entropy in terms of so called Aharonov invariants is obtained. Another result represents the entanglement entropy of excited states in terms of Faber polynomials and Grunsky coefficients. The third issue, which I’m going discuss, is the relation to the analytic curves and the tau-function of dispersionless Toda hierarchy.