Random defect lines in conformal minimal models

TL;DR: In this article, the exact scale invariant scattering solutions for two-dimensional field theories with replicated permutational symmetry were obtained, and they correspond to the renormalization group fixed points of the $q$-state Potts model with quenched disorder.

TL;DR: In this paper, the authors studied the phase diagram and critical properties of the two-dimensional disordered O(n) loop model and extracted the renormalization group (RG) flow from the landscape of the effective central charge c obtained by the transfer matrix method.

TL;DR: The results verify previous renormalization-group calculations on the Blume-Capel model with disorder in the crystal-field coupling and find evidence that, the second-order transition emerging under bond randomness from the first-order regime of the pure model, belongs again to the same universality class.

TL;DR: In this article, the authors numerically study the phase diagram and critical properties of the two-dimensional disordered O(n) loop model by using the transfer matrix and the worm Monte Carlo methods.

TL;DR: A description of normalized distributions (measures) lying upon possibly fractal sets; for example those arising in dynamical systems theory, focusing upon the scaling properties of such measures, which are characterized by two indices: \ensuremath{\alpha}, which determines the strength of their singularities; and f, which describes how densely they are distributed.

TL;DR: Based on the conformal algebra approach, a general technique for the calculation of multipoint correlation functions in 2D statistical models at the critical point is given in this article, where particular conformal operator algebras are found for operators of the 2D q-component Potts model.

TL;DR: In this article, the authors show that conformal invariance and unitarity severely limit the possible values of critical exponents in two-dimensional systems, and propose a solution to this problem.

TL;DR: G is argued to decrease under renormalization from a less stable to a more stable critical point and plays a role in boundary critical phenomena quite analogous to that played by c, the conformal anomaly, in the bulk case.