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 H0, H1, H2, E6, E7, E8. We consider compactifications of the E-string theory on T2 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.
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