Quarter-indices for basic ortho-symplectic corners
arXiv:2604.26418 · doi:10.1007/JHEP08(2026)222
Abstract
We study supersymmetric quarter-indices for corner configurations in 4d super Yang-Mills theory with orthogonal and symplectic gauge groups. For the basic Y-junctions, we obtain exact closed-form expressions for the indices by making use of the Gustafson type integral formula and the Higgsing method. We demonstrate the equality of the quarter-indices between dual configurations, providing evidence for S-duality of the corner configurations. In the special fugacity limit, the indices admit an interpretation in terms of the vacuum characters of the W-algebras of type BCD, and the Lie superalgebra as the corner vertex operator algebras.
37 pages, 9 figures, v2: published version in JHEP
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