2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27415The exact finite-size spectra for several quantum impurity models related to the Kondo problem are obtained from the Bethe ansatz solutions. Using the finite-size scaling in boundary conformal field theory, we determine various surface critical exponents from the exact spectrum, which accord with those obtained by Affleck and Ludwig with Kac-Moody fusion rules. Some applications to critical phenomena observed in connection with the orthogonality catastrophe are also discussed.RevTex, Proceedings of Pacific Conference on Condensed Matter Theory: Complex Materials and Strongly Correlated systems. (The talk given by N. Kawakami.)Condensed MatterHigh Energy Physics - Theorytext