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M2-M5 giant graviton expansions
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abstract
We examine the giant graviton expansions of the Coulomb and Higgs indices for the M2-brane SCFTs to find the closed-form expressions for the indices that encode the spectra of the $1/4$-BPS M5-brane giant gravitons and the $1/3$-BPS orbifold M5-brane giant gravitons. Consequently, we get exact forms of the twisted indices for the 6d $(2,0)$ theories describing a stack of $N$ M5-branes which generalize the unrefined indices. We confirm that they are also beautifully expanded with respect to the indices for the M2-brane giant gravitons which are obtained from the Coulomb and Higgs indices for the M2-brane SCFTs upon the change of variables.
Forward citations
Cited by 2 Pith papers
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Interior zeros of supersymmetric indices
Interior zeros of a supersymmetric index exist iff its arithmetic coefficients δ(ν) grow exponentially at rate set by the nearest zero, detectable from finitely many q-series terms.
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Kac-Moody algebras from M5-giants
The single-sum giant graviton expansion of ADHM Higgs indices is proposed to encode, in two fugacity limits, the vacuum characters of the affine Kac-Moody algebras \ hat su(l)_1^{\ times m} and \ hat su(l)_m.
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