A review of the AdS/CFT Quantum Spectral Curve
High Energy Physics - Theory
2020-08-26 v2
Abstract
We give an introduction to the Quantum Spectral Curve in AdS/CFT. This is an integrability-based framework which provides the exact spectrum of planar N = 4 super Yang-Mills theory (and of the dual string model) in terms of a solution of a Riemann-Hilbert problem for a finite set of functions. We review the underlying QQ relations starting from simple spin chain examples, and describe the special features arising for AdS/CFT. We also discuss the recently found links between the Quantum Spectral Curve and the computation of correlation functions. To appear in a special issue of J Phys A based on lectures given at the Young Researchers Integrability School and Workshop 2018.
Keywords
Cite
@article{arxiv.1911.13065,
title = {A review of the AdS/CFT Quantum Spectral Curve},
author = {Fedor Levkovich-Maslyuk},
journal= {arXiv preprint arXiv:1911.13065},
year = {2020}
}
Comments
31 pages, 4 figures; v2: typos fixed