Higgs branches of 5d rank-zero theories from geometry

• DOI: 10.1007/jhep10(2021)018
• Publication Date: 2021-10-05T17:07:28Z
• Authors: Andrés Collinucci; Mario De Marco; Andrea Sangiovanni; Roberto Valandro
• Keywords: Zero (linguistics); Rank (graph theory)

A bstract We study the Higgs branches of five-dimensional $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 rank-zero theories obtained from M-theory on two classes non-toric non-compact Calabi-Yau threefolds: Reid’s pagodas, and Laufer’s examples. Our approach consists in reducing to IIA with D6-branes O6-planes, computing open-string spectra giving rise hypermultiplets. Starting seven-dimensional worldvolume theories, we switch T-brane backgrounds give bound states angles. observe that resulting partially Higgsed 5d have discrete gauge groups, which readily deduce geometry as orbifolds quaternionic varieties.