In this paper we investigate and propose new dualities involving 2d gauge
theories with $\mathcal{N}=(0,2)$ supersymmetry. In the first part of the paper
we focus on $\mathrm{SU}(n)$ gauge theories with two antisymmetric chirals. The
gauge theories are non-anomalous if we consider, in addition to such matter
content, $n_f$ fundamental and $n_a$ antifundamental chirals, provided the
constraint $n_f+n_a=4$. By exploring the five possibile scenarios arising from
this constraint we provide in each case evidences of a dual LG description, by
matching the ‘t Hooft anomalies and deriving the relation between the elliptic
genera in terms of other more fundamental dualities. In the second part of the
paper we provide a 4d origin for a gauge/LG duality already stated in the
literature, that does not descend from any known s-confining duality. In the
last part of the paper we focus on dualities for $\mathrm{SU}(n)$ and
$\mathrm{USp}(2n)$ models with antisymmetric Fermi multiplets, obtained from
dimensional reduction of 4d parent dualities.

Este artículo explora los viajes en el tiempo y sus implicaciones.

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