S-duality of boundary lines in $$ \mathcal{N} $$ = 4 SYM theories and supersymmetric indices
Year: 2025
Type: article
Abstract: A bstract We analyze the supersymmetric defect indices of $$ \mathcal{N} $$ N = 4 super Yang Mills theories which are simultaneously decorated by the BPS line operators and the boundary conditions. We demonstrate that the two-point functions of the boundary ’t Hooft lines of magnetic charges associated with the minuscule representations in the presence of the regular Nahm pole boundary conditions can be obtained by applying the Higgsing prescription to the half-indices of the Dirichlet boundary conditions. Accordingly, we find precise matching of the indices for pairs of the S-dual configurations with the Wilson lines and Neumann boundary conditions and those with the ’t Hooft lines and the regular Nahm pole boundary conditions. Alternatively, we analytically compute the indices by means of the inner product of the Macdonald polynomials to find the exact closed-form expressions.
Source: Journal of High Energy Physics
Authors: Yasuyuki Hatsuda, Tadashi Okazaki
Institutions: Rikkyo University, Southeast University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413310326