We review the quantum spectral curve (QSC) formalism for the spectrum of anomalous
dimensions of 𝒩= 4 SYM, including its γ-deformation. Leaving aside its derivation, we …

This article reviews the application of integrability to the spectral problem of strings on ${\rm
Ad}{{{\rm S}} _ {5}}\times {{{\rm S}}^{5}} $ and its deformations. We begin with a pedagogical …

A bstract We give a derivation of quantum spectral curve (QSC)—a finite set of Riemann-
Hilbert equations for exact spectrum of planar\(\mathcal {N}= 4\) SYM theory proposed in our …

A bstract We derive a set of integral equations of the TBA type for the generalized cusp
anomalous dimension, or the quark antiquark potential on the three sphere, as a function of …

A bstract We conjecture the Quantum Spectral Curve equations for string theory on AdS 3× S
3× T 4 with RR charge and its CFT 2 dual. We show that in the large-length regime, under …

A bstract We propose a procedure to derive quantum spectral curves of AdS/CFT type by
requiring that a specially designed analytic continuation around the branch point results in …

We present a conjecture for the three-point functions of single-trace operators in planar N= 4
super-Yang-Mills theory at finite coupling, in the case where two operators are protected …

Recently, it was shown that the spectrum of anomalous dimensions and other important
observables in planar N= 4 supersymmetric Yang-Mills theory are encoded into a simple …

An iterative procedure perturbatively solving the quantum spectral curve of planar N= 4 SYM
for any operator in the sl (2) sector is presented. A Mathematica notebook executing this …

This review is based on the lectures given by the author at the Les Houches Summer School
2016. It describes the recently developed Quantum Spectral Curve (QSC) for a non …