M2-M5 giant graviton expansions

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.

54 pages, v2: published version in JHEP

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• Abelian dualities and line defect indices for 3d gauge theories
• Quarter-indices for basic ortho-symplectic corners
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs