Abstract
In this paper, we provide a general classification of supersymmatric QFT 4 s 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- QFT 4 s. This includes, amongst others, its embedding in type II string on local Calabi–Yau threefolds. We give realizations of these supersymmetric QFT 4 s 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.
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