BPS index and 4d N=2 superconformal field theories

Abstract

We study the BPS index for the four-dimensional rank-one N=2 superconformal field theories H_0, H_1, H_2, E_6, E_7, E_8. We consider compactifications of the E-string theory on T^2 in which these theories arise as low energy limits. Using this realization we clarify the general structure of the BPS index. The index is characterized by two exponents and a sequence of invariants. We determine the exponents and the first few invariants.

17 pages, v2: some clarifications and a reference added, published version

References in corpus (3)

• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• Polynomial Structure of the (Open) Topological String Partition Function
• A reduced BPS index of E-strings

Cited by in corpus (1)

• Argyres-Douglas theories and Liouville Irregular States