RG cascades in hyperbolic quiver gauge theories Original Research Article

In this paper, we provide a general classification of supersymmatric images into three basic sets: ordinary, affine and indefinite classes. The last class, which has not been enough explored in literature, is shown to share most of properties of ordinary and affine super-images. This includes, amongst others, its embedding in type II string on local Calabi–Yau threefolds. We give realizations of these supersymmetric images as D-brane world volume gauge theories. A special interest is devoted to hyperbolic subset for its peculiar features and for the role it plays in type IIB background with non-zero axion. We also study RG flows and duality cascades in case of hyperbolic quiver theories. Comments regarding the full indefinite sector are made.