Abstract
We study the BPS index for the four-dimensional rank-one \( \mathcal{N} \) = 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.
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Sakai, K. BPS index and 4d \( \mathcal{N} \) = 2 superconformal field theories. J. High Energ. Phys. 2016, 46 (2016). https://doi.org/10.1007/JHEP07(2016)046
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DOI: https://doi.org/10.1007/JHEP07(2016)046