Orbifold ETW brane and half-indices

Abstract

We study the half-indices of $\mathcal{N}=4$ super Yang-Mills theories of orthogonal and symplectic gauge groups. We find precise matching pairs of the half-indices as strong evidence of dualities of the half-BPS boundary conditions and interfaces. The half-indices encode the spectra of excitations on the holographically dual orbifold ETW brane and giant gravitons. The exact form of the index for the orbifold ETW giant gravitons is obtained from the giant graviton expansion of the half-index.

53 pages, 8 figures, v2: published version in JHEP

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Cited by in corpus (6)

• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Localization and wall-crossing of giant graviton expansions in AdS${}_5$
• $\mathcal{N}=4$ line defect correlators of type BCD
• Quarter-indices for basic ortho-symplectic corners
• Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs