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arXiv · 1911.13065

A review of the AdS/CFT Quantum Spectral Curve

Fedor Levkovich-Maslyuk
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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.

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Fedor Levkovich-Maslyuk. 2019-11-29. A review of the AdS/CFT Quantum Spectral Curve. https://doi.org/10.1088/1751-8121%2Fab7137

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