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A bstract Recently an algorithm to build SL (2, ℤ) duals, including mirror duals, of 3d N N = 4 quiver theories and their 4d N N = 1 uplift has been introduced. In this work we use this new tool to study the so-called bad theories. Our approach allows us to determine exactly indices/partition functions for generic values of fugacities/real mass and FI parameters revealing their surprising feature: the 4d index/3d partition function of a bad theory behaves as a sum of distributions rather than an ordinary function of the deformation parameters. We focus on the bad SQCD, with U (N c) gauge group in 3d and USp (2 N c) in 4d, while in an upcoming paper we will consider linear quivers which, in the 3d case, have both unitary and special unitary bad nodes.
Giacomelli et al. (Tue,) studied this question.