Title: Exact beta function and glueball spectrum in large N Yang-Mills theory.
Abstract: In the pure large-N Yang-Mills theory there is a quasi-BPS sector that is exactly solvable at large N.It follows an exact beta function and the glueball spectrum in this sector.The main technical tool is a new holomorphic loop equation for quasi-BPS Wilson loops, that occurs as a nonsupersymmetric analogue of Dijkgraaf-Vafa holomorphic loop equation for the glueball superpotential of N = 1 SUSY gauge theories.The new holomorphic loop equation is localized, i.e. reduced to a critical equation, by a deformation of the loop that is a vanishing boundary in homology, somehow in analogy with Witten's cohomological localization by a coboundary deformation in SUSY gauge theories.