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 …

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 conjecture a new way to construct eigenstates of integrable XXX quantum spin
chains with SU (N) symmetry. The states are built by repeatedly acting on the vacuum with a …

We propose a basis for rational gl (N) spin chains in an arbitrary rectangular representation
(SA) that factorises the Bethe vectors into products of Slater determinants in Baxter Q …

A bstract The main purpose of this paper is the construction of the R-operator which acts in
the tensor product of two infinite-dimensional representations of the conformal algebra and …

A bstract In this paper we take further steps towards developing the separation of variables
program for integrable spin chains with\(\mathfrak {gl}(N)\) symmetry. By finding, for the first …

Abstract We investigate 4D Chern-Simons theory with ADE gauge symmetries in the
presence of interacting Wilson and't Hooft line defects. We analyse the intrinsic properties of …

We propose a way to separate variables in a rational integrable gl (n) gl (n) spin chain with
an arbitrary finite-dimensional irreducible representation at each site and with generic …

A bstract We propose the full system of Baxter Q-functions (QQ-system) for the integrable
spin chains with the symmetry of the D r Lie algebra. We use this QQ-system to derive new …

We present a family of novel Lax operators corresponding to representations of the RTT-
realisation of the Yangian associated with D-type Lie algebras. These Lax operators are of …