Asymptotic Bethe equations for open boundaries in planar AdS/CFT

Abstract

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 $Ad{S}_5\times S^5$, 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.

30 pages. v2: minor changes and discussion section added, J.Phys.A version.

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• Reflecting Magnon Bound States
• The Bethe Ansatz Equations for Reflecting Magnons
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Universal blocks of the AdS/CFT Scattering Matrix
• Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry
• Bethe ansatz equations for open spin chains from giant gravitons
• Structure of the string R-matrix
• Issues on magnon reflection
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Cited by in corpus (7)

• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Integrable achiral D5-brane reflections and asymptotic Bethe equations
• Integrable Open Spin Chains from Flavored ABJM Theory
• Inelastic Magnon Scattering
• Wrapping effects in supersymmetric gauge theories
• Boundary bound states and integrable Wilson loops in ABJM