T-and Y-systems are ubiquitous structures in classical and quantum integrable systems.
They are difference equations having a variety of aspects related to commuting transfer …

The description of solids at a microscopic level is complex, involving the interaction of a
huge number of its constituents, such as ions or electrons. It is impossible to solve the …

We discuss in this paper algebraic structures that are common to finite integrable lattice
systems and conformal field theories. The concept of quantum group plays a major role in …

Using results on the scaling of energies with the size of the system and the principles of
conformal quantum field theory, we calculate the asymptotics of correlation functions for the …

We derive the Bethe ansatz equations describing the complete spectrum of the transition
matrix of the partially asymmetric exclusion process with the most general open boundary …

The massless regime of the quantum XXZ chain is an example of a conformally invariant (1+
1)-dimensional Hamiltonian with conformal anomaly c= 1. In this paper, Bethe ansatz …

We present a computational framework not based on the string hypothesis for the
thermodynamics of statistical and quantum field theory models solvable by the Bethe ansatz …

We present a unified approach to the Thermodynamic Bethe Ansatz (TBA) for magnetic
chains and field theories that includes the finite size (and zero-temperature) calculations for …

A new and general analytic method for calculating finite-size corrections and central charges
is applied to the 6-and 19-vertex models and their related spin-1/2 and spin-1 XXZ chains …

A perturbative method is developed to calculate the finite size corrections of the low-lying
energies of the asymmetric XXZ Hamiltonian near the stochastic line. The crossover from …