We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

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 …

A bstract We consider structure constants of single trace operators in planar\(\mathcal {N}=
4\) Super-Yang-Mills theory within the hexagon framework. The standard procedure for …

We consider quantum quenches to the sinh-Gordon integrable quantum field theory from a
particular class of initial states. Our analysis includes the case of mass and interaction …

A bstract We investigate the hexagon formalism in the planar 4d conformal fishnet theory.
This theory arises from\(\mathcal {N}\)= 4 SYM by a deformation that preserves both …

A bstract One of the most striking but mysterious properties of the sinh-Gordon model (ShG)
is the b→ 1/b self-duality of its S-matrix, of which there is no trace in its Lagrangian …

We propose herein an extension of truncated spectrum methodologies, a nonperturbative
numerical approach able to elucidate the low energy properties of quantum field theories …

A bstract We initiate a systematic method to calculate both the finite volume energy levels
and form factors from the momentum space finite volume two-point function. By expanding …

We consider the ground-state properties of an extended one-dimensional Bose gas with
pointwise attractive interactions. We take the limit where the interaction strength goes to zero …

Using the fermionic basis we conjecture exact expressions for diagonal finite volume matrix
elements of exponential operators and their descendants in the sinh-Gordon theory. Our …