Remarks on the Higgs Branch of 5d Conformal Matter

TL;DR

This paper investigates the Higgs branches of 5d conformal matter theories, using brane web dualities and circle reductions to 4d SCFTs, revealing new insights into their structure and fusion properties.

Contribution

It introduces dual brane web methods and circle reduction techniques to analyze Higgs branches of 5d conformal matter, including E-type theories, providing new computational tools.

Findings

Identification of magnetic quivers for type A and D conformal matter.

Alternative derivation of Higgs branches via 4d circle reductions.

Extension of methods to E-type conformal matter.

Abstract

Among the elementary building blocks in the atomic classification of 5d SCFTs there are 5d bifundamental conformal matter theories of various kinds. In this work we study the Higgs branch of these models and of the corresponding molecules arising from their fusion. To this aim we use two complementary independent strategies. On the one hand for the type $A$ and $D$ conformal matter, we identify dual $(p,q)$ brane webs in IIB and exploit them to read off the corresponding magnetic quivers. On the other hand, we exploit circle reductions and study the resulting 4d $\mathcal N=2$ SCFTs, giving an alternative derivation of their Higgs branches which extend also to the $E$ types.