  We construct 4d $\mathcal{N}=1$ quantum field theories by compactifying the
(2,0) theories on a Riemann surface with genus $g$ and $n$ punctures, where the
normal bundle decomposes into a sum of two line bundles with possibly negative
degrees $p$ and $q$. Until recently, the only available field-theoretic
constructions required the line bundle degrees to be nonnegative, although
supergravity solutions were constructed in the literature for the zero-puncture
case for all $p$ and $q$. Here, we provide field-theoretic constructions and
computations of the central charges of 4d $\mathcal{N}=1$ SCFTs that are the IR
limit of M5-branes wrapping a surface with general $p$ or $q$ negative, for
general genus $g$ and number of maximal punctures $n$.

High Energy Physics - Theory