%0 Journal Article %T Global regularity for a logarithmically supercritical hyperdissipative dyadic equation %A David Barbato %A Francesco Morandin %A Marco Romito %J Mathematics %D 2014 %I arXiv %X We prove global existence of smooth solutions for a slightly supercritical dyadic model. We consider a generalized version of the dyadic model introduced by Katz-Pavlovic [2005] and add a viscosity term with critical exponent and a supercritical correction. This model catches for the dyadic a conjecture that for Navier-Stokes equations was formulated by Tao [2009]. %U http://arxiv.org/abs/1403.2852v2