The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8

TL;DR

This paper extends previous work to show that all rank 1 N=2 SCFTs in the H and E series have canonical BPS chambers with a specific number of hypermultiplets, revealing a deep connection to conformal central charge c.

Contribution

It demonstrates that these SCFTs possess canonical BPS chambers with a fixed hypermultiplet count, generalizing prior results and uncovering new numerological relations.

Findings

Canonical BPS chambers contain 2 h(F)=12(Delta-1) hypermultiplets.

BPS spectrum saturates the conformal central charge c.

Reveals intriguing numerology linking BPS spectrum and conformal data.

Abstract

Extending results of arXiv:1112.3984, we show that all rank 1 N=2 SCFT's in the sequence H_1, H_2, D_4 E_6, E_7, E_8 have canonical finite BPS chambers containing precisely 2 h(F)=12(Delta-1) hypermultiplets. The BPS spectrum of the canonical BPS chambers saturates the conformal central charge c, and satisfies some intriguing numerology.