Coulomb-Gas Approach For Percolation Theory

The aim of this work is to present a non trivial confirmation of the powerful of the Coulomb gas-techniques for Boundary Conformal Field Theory (BCFT). We show that we can re-derive the known Cardy result of percolation problem via the technics developed by S. Kawai in the Coulomb-Gas formalism.Comment: 4 pages, 1 figure. The title and the abstract were changed and the introduction was modifie

Excitation Spectrum at the Yang-Lee Edge Singularity of 2D Ising Model on the Strip

At the Yang-Lee edge singularity, finite-size scaling behavior is used to measure the low-lying excitation spectrum of the Ising quantum spin chain for free boundary conditions. The measured spectrum is used to identify the CFT that describes the Yang-Lee edge singularity of the 2D Ising model for free boundary conditions.Comment: 7 pages, 1 figur

The boundary states and correlation functions of the tricritical Ising model from the Coulomb-gas formalism

We consider the minimal conformal model describing the tricritical Ising model on the disk and on the upper half plane. Using the coulomb-gas formalism we determine its consistents boundary states as well as its 1-point and 2-point correlation functions.Comment: 20 pages, no figure. Version 2:A paragraph for the calculation of the 2-point correlators was added. Some typos and garammatical errors were corrected.Version 3: Equations 24 are modified. Version 4 : new introduction and minor correction

The Boundary Conformal Field Theories of the 2D Ising critical points

We present a new method to identify the Boundary Conformal Field Theories (BCFTs) describing the critical points of the Ising model on the strip. It consists in measuring the low-lying excitation energies spectra of its quantum spin chain for different boundary conditions and then to compare them with those of the different boundary conformal field theories of the $(A_2,A_3)$ minimal model.Comment: 7 pages, no figures. Talk given at the XXth International Conference on Integrable Systems and Quantum Symmetries (ISQS-20). Prague, June 201