We analyze those integrable statistical systems which originate from some relevant
perturbations of the minimal models of conformal field theories. When only massive …

4. Quantum Toda field theories 4.1. Vertex operator algebras 4.2. The VOA of the
Heisenberg algebra 4.3. Quantum integrals of motion 4.4. Liouville theory 4.5. Quantum …

We construct and study the implications of some new non-local conserved currents that exist
is a wide variety of massive integrable quantum field theories in 2 dimensions, including the …

Using Watson's and the recursive equations satisfied by matrix elements of local operators
in two-dimensional integrable models, we compute the form factors of the elementary field φ …

Abstract Following Leznov and Saveliev, we present the general solution to Toda field
theories of conformal, affine or conformal affine type, associated with a simple Lie algebra g …

A bstract We analyze the Thermodynamic Bethe Ansatz (TBA) for various integrable S-
matrices in the context of generalized T\(\overline {\mathrm {T}}\) deformations. We focus on …

In this paper we present a general framework to construct integrable Z 2 2-graded
extensions of classical, two-dimensional Toda and conformal affine Toda theories. The …

The authors present a simple d= 1 model of N= 4 supersymmetric quantum mechanics
(SQM) in which N= 4 supersymmetry can be spontaneously broken down to N= 2. When …

We demonstrate that for the sine-Gordon theory at the free fermion point, the 2-point
correlation functions of the fields e iαΦ for 0< α< 1 can be parameterized in terms of a …

Abstract Generalized Drinfeld-Sokolov (DS) hierarchies are constructed through local
reductions of Hamiltonian flows generated by monodromy invariants on the dual of a loop …