Exploring the orthosymplectic zoo

DOI number:10.1007/JHEP05(2022)054

Journal:Journal of High Energy Physics

Abstract:We study the Higgs branch of the SCFT limit of 5d SO(6) and SO(8) gauge theory with hypermultiplets in the spinor and vector representations. In the case of SO(6) gauge theories, we contrast the magnetic quivers obtained with those of SU(4) gauge theory with hypermultiplets in the fundamental and second rank antisymmetric representations. Since SU(4) gauge theories admit several different values of the Chern-Simons level, we make some observations about how to distinguish those theories from the brane webs of the SO(6) theories. In the case of SO(8) gauge theories, we use SO(8) triality to propose (naively) inequivalent magnetic quivers, which will turn out to have the same moduli spaces of vacua, at least locally around their most singular loci. We encounter several interesting new phenomena occurring in the magnetic quivers, such as hypermultiplets between neighbouring symplectic gauge nodes and matter in two-index representations of unitary nodes. We also give a prescription for computing the local Coulomb branch Hilbert series for quivers involving bad USp(2) gauge nodes.

Note:ArXiv version is available at https://arxiv.org/abs/2203.01951

Co-author:Mohammad Akhond,Federico Carta,Siddharth Dwivedi,Hirotaka Hayashi,Sung-Soo Kim,Futoshi Yagi

Indexed by:SCI

Volume:05 (2022)

Issue:054

Translation or Not:no

Date of Publication:2022-05-10

Included Journals:SCI

Links to published journals:https://doi.org/10.1007/JHEP05(2022)054