Magnetic quivers and negatively charged branes

Abstract

The Higgs branches of the world-volume theories for multiple M5 branes on an Ak or Dk-type ALE space are known to host a variety of fascinating properties, such as the small E8 instanton transition or the discrete gauging phenomena. This setup can be further enriched by the inclusion of boundary conditions, which take the form of SU(k) or SO(2k) partitions, respectively. Unlike the A-type case, D-type boundary conditions are eventually accompanied by negative brane numbers in the Type IIA brane realisation. While this may seem discouraging at first, we demonstrate that these setups are well-suited to analyse the Higgs branches via magnetic quivers. Along the way, we encounter multiple models with previously neglected Higgs branches that exhibit exciting physics and novel geometric realisations. Nilpotent orbits, Słodowy slices, and symmetric products.

Hierarchy of RG flows in 6d (1, 0) orbi-instantons

“…We can pick one representative b of each conjugacy class w, and ask how many of those have representatives in E 8 which are of order 2, namely find which of the homomorphisms in Hom(D k , E 8 ) from [36] (called Hom(Dic k , E 8 ) there) have kernels consisting of b 2 = a n (see [13, section 7.3.3] for their F-theory realization). 42 Second, the full set of rules to obtain the 3d ortho-symplectic magnetic quivers of D-type orbi-instantons coming from O8-D8-O6-D6-NS5 brane systems has not been worked out yet (to the best of our knowledge), even though this difficulty may more easily be overcome by extending the rules proposed in [75,110,111] to also include the O8 (see e.g. [107, section 4] for progress in this direction).…”

Fibrations and Hasse diagrams for 6d SCFTs

“…Note that parts of the following analysis overlap with certain results of[80], which came out while this work was completed.…”