Chern-Simons-Trinion theories: a rarely mentioned family of 3d N=4 SCFTs

by Dr Noppadol Mekareeya (Università di Milano Bicocca)

Wednesday 21 Feb 2024, 14:30 → 16:30 Europe/Rome

1/1-2 - Aula "C. Voci" (Dipartimento di Fisica e Astronomia - Edificio Marzolo)

This talk focuses on 3d theories containing N=3 Chern-Simons vector multiplets coupled to the SU(N)^3 flavour symmetry of 3d T_N theories with Chern-Simons level k_1, k_2 and k_3. It was pointed out by Assel, Tachikawa and Tomasiello in [arXiv:2209.13984] that supersymmetry gets enhanced to N=4 when 1/k_1+1/k_2+1/k_3=0. I will demonstrate by means of the superconformal index that, even if the Chern-Simons levels do not obey this condition, there is still an infinite family of theories that flows to infrared SCFTs with N=4 supersymmetry. Moreover, I will discuss the 't Hooft anomalies of the one-form symmetries of these theories. As a by-product, it is observed that there is generally a decoupled topological sector in the infrared. The moduli space of these theories will be discussed using the Higgs and Coulomb branch limits of the index.