A review of the AdS/CFT Quantum Spectral Curve
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 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.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- July 2020
- DOI:
- 10.1088/1751-8121/ab7137
- arXiv:
- arXiv:1911.13065
- Bibcode:
- 2020JPhA...53B3004L
- Keywords:
-
- integrable models;
- AdS/CFT;
- Bethe ansatz;
- High Energy Physics - Theory
- E-Print:
- 31 pages, 4 figures