Dualities from dualities in 2d
Antonio Amariti (INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy)
; Pietro Glorioso (INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy, Dipartimento di Fisica, Università degli studi di Milano, Via Celoria 16, I-20133, Italy); Fabio Mantegazza (Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany); Davide Morgante (INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy, Dipartimento di Fisica, Università degli studi di Milano, Via Celoria 16, I-20133, Italy); Andrea Zanetti (INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy, Dipartimento di Fisica, Università degli studi di Milano, Via Celoria 16, I-20133, Italy)
We propose 2d dualities between gauge theories with fundamental and antisymmetric chiral matter and Landau-Ginzburg theories with chiral and Fermi multiplets. Many of these dualities can be derived by topologically twisting 4d s-confining gauge theories on a two-sphere, with integer non-negative R charges. We provide various checks of the dualities, showing that they descend from more “basic” dualities, similarly to analogous derivations in higher dimensions. The proof is based on the fact that the antisymmetric tensors can be traded with gauge theories with fundamental chirals, mimicking the higher dimensional mechanism known as tensor deconfinement. The quivers obtained in this way can be shown to be dual to LG models after applying other elementary “basic” dualities.