Wilson loops in $$ \mathcal{N} $$ = 4 SO(N) SYM and D-branes in AdS5 × ℝℙ5

A bstract We study the half-BPS circular Wilson loop in $$ \mathcal{N} N = 4 super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over Lie algebra of SO( N ). focus on large limit and present some simple quantitative tests duality type IIB string theory AdS 5 × ℝℙ . In particular, we show that strong coupling spinor representation group precisely matches classical action dual object, which is expected to D5-brane wrapping subspace also briefly discuss , λ limits ) symmetric/antisymmetric representations their D3/D5-brane duals. Finally, use description extract leading behavior “bremsstrahlung function” associated probe charge, or equivalently normalization two-point function displacement operator loop, obtain agreement localization prediction.