Open Spinning Strings

TL;DR

This work extends the AdS/CFT correspondence to an ${\cal N}=2$ $Sp(N)$ gauge theory by constructing and analyzing classical spinning open strings in the orientifold $AdS_5\times S^5/\mathbb{Z}_2$. The authors derive open-string solutions with multiple spins on $S^5$, showing their energies organize into a regular expansion in $\lambda/J^2$ with $1/J$-suppressed corrections, and map these energies to anomalous dimensions of gauge-theory operators. A key result is the simple relation between open and closed string energies, $E_o(J) = \tfrac{1}{2}E_c(2J)$, which implies an all-loop planar relationship between the anomalous dimensions of two-quark (open-string) and single-trace (closed-string) operators. The work also outlines a spin-chain interpretation with open boundary conditions and discusses potential extensions via the Bethe ansatz and Yangian symmetries, significantly broadening the reach of semiclassical holography to less supersymmetric, orientifolded backgrounds.

Abstract

We find classical open string solutions in the $AdS_5\times S^5/\Zop_2$ orientifold with angular momenta along the five-sphere. The energy of these solutions has an expansion in integral powers of $λ$ with sigma-model corrections suppressed by inverse powers of $J$ - the total angular momentum. This gives a prediction for the exact anomalous dimensions of operators in the large $N$ limit of an ${\cal N}=2$ $Sp(N)$ Super-Yang-Mills theory with matter. We also find a simple map between open and closed string solutions. This gives a prediction for an all-loop planar relationship between the anomalous dimensions of single-trace and two-quark operators in the dual gauge theory.