Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-03
J.Phys.A43:145401,2010
Physics
High Energy Physics
High Energy Physics - Theory
30 pages. v2: minor changes and discussion section added, J.Phys.A version.
Scientific paper
10.1088/1751-8113/43/14/145401
We solve, by means of a nested coordinate Bethe ansatz, the open-boundaries scattering theory describing the excitations of a free open string propagating in $AdS_5\times S^5$, carrying large angular momentum $J=J_{56}$, and ending on a maximal giant graviton whose angular momentum is in the same plane. We thus obtain the all-loop Bethe equations describing the spectrum, for $J$ finite but large, of the energies of such strings, or equivalently, on the gauge side of the AdS/CFT correspondence, the anomalous dimensions of certain operators built using the epsilon tensor of SU(N). We also give the Bethe equations for strings ending on a probe D7-brane, corresponding to meson-like operators in an $\mathcal N=2$ gauge theory with fundamental matter.
Correa Diego H.
Young Charles A. S.
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