Towards Structure Constants in N=4 SYM via Quantum Spectral Curve

by Mr Fedor Levkovich-Maslyuk (Moscow State University, Physics Department)

Thursday 17 Oct 2019, 13:30 → 14:30 Europe/Stockholm

132:028

The Quantum Spectral Curve (QSC) is a powerful integrability-based framework capturing the nonperturbative spectrum of planar N=4 SYM theory. We present first evidence that it should also play an important role for computing exact correlation functions. We compute the correlator of 3 scalar local operators connected by Wilson lines forming a triangle in the ladders limit, and show that it greatly simplifies when written in terms of the QSC. The final all-loop result takes a very compact form, suggesting its interpretation via Sklyanin's separation of variables (SoV). We discuss work in progress on extending these results to local operators. Our approach is linked with the rapidly developing subject of SoV for spin chains, and we derive the SoV measure for sl(N) spin chains, the first such result beyond models with simplest rank-1 symmetry.