2021/11/15 by Iñaki García‐Etxebarria, Etxebarria, Iñaki García, Ben Heidenreich +5
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2111.08022
We introduce a systematic approach to constructing N=1 Lagrangians for a class of interacting N=2 SCFTs. We analyse in detail the simplest case of the construction, arising from placing branes at an orientifolded ℂ2/ℤ2 singularity. In this way we obtain Lagrangian descriptions for all the R2,k theories. The rank one theories in this class are the E6 Minahan-Nemeschansky theory and the C2× U(1) Argyres-Wittig theory. The Lagrangians that arise from our brane construction manifestly exhibit either the entire expected flavour symmetry group of the SCFT (for even k) or a full-rank subgroup thereof (for odd k), so we can compute the full superconformal index of the N=2 SCFTs, and also systematically identify the Higgsings associated to partial closing of punctures.