Quiver origami: discrete gauging and folding

Abstract

We study two types of discrete operations on Coulomb branches of 3d N = 4 quiver gauge theories using both abelianisation and the monopole formula. We generalise previous work on discrete quotients of Coulomb branches and introduce novel wreathed quiver theories. We further study quiver folding which produces Coulomb branches of non-simply laced quivers.

Some open questions in quiver gauge theory

“…In recent years, the 3d 𝒩 = 4 Coulomb branches, realized as spaces of dressed monopoles (to be precise), play a key role in the study of quivers and SCFTs in various dimensions. In particular, various tools have been developed including HS [5,18] and HWGs [19], Kraft-Procesi (KP) transitions and transverse slices [20][21][22][23], quiver subtractions [24] and quiver additions [3], discrete gauging and quiver origami [25][26][27][28], and magnetic quivers and phase diagrams [4,17,[29][30][31][32][33][34]. There are many interesting perspectives which can be found in these references.…”

“…This relates Coulomb branches for unfolded and folded quivers via finite group actions. For these non-simply laced quivers, the HS and HWGs have been calculated in [28] for unitary quivers and in [16] for orthosymplectic quivers. However, it is still not clear on how to compute the Higgs branches.…”