Dualities from dualities: the sequential deconfinement technique

A bstract It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities obtained by iterative applications Seiberg-like In this paper we continue line investigation focusing on with tensor matter. such cases one apply the idea deconfinement, which consists trading matter for extra gauge nodes means suitable duality. This gives auxiliary dual frame then manipulated further dualizations, procedure eventually yielding description original theory. The sequential deconfinement technique avatars different areas mathematical physics, as study hypergeometric and elliptic integral identities or 2 d free correlators. We discuss various examples context 4 $$ \mathcal{N} N = 1 supersymmetric theories, are related to integrals. These include new self-duality involving quiver theory exhibits non-trivial global symmetry enhancement E 6 .