2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95330We give a ``physics proof'' of a conjecture made by the first author at Strings 2005, that the moduli spaces of certain conformal field theories are finite volume in the Zamolodchikov metric, using an RG flow argument.8 pages, latex, JHEPHigh Energy Physics - TheoryAstrophysicsDifferential GeometryFiniteness of volume of moduli spacestext