Asymptotic Bethe equations for open boundaries in planar AdS/CFT

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 AdS5 X S5, carrying large angular momentum J = J56, and ending on a maximal giant graviton whose angular momentum is in the same plane. We thu...

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Published inJournal of physics. A, Mathematical and theoretical Vol. 43; no. 14; p. 145401
Main Authors Correa, D H, Young, C A S
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 09.04.2010
IOP
Subjects
Angular momentum
Asymptotic properties
Boundaries
Energy use
Equivalence
Exact sciences and technology
Mathematical analysis
Operators
Physics
Strings
Bethe ansatz
Operator
Brane world
Mesons
Gauge theory
Angular momentum
SU(N) theory
Excitation
Gravitons
Scattering theory
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Summary: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 AdS5 X S5, carrying large angular momentum J = J56, 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 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 gauge theory with fundamental matter.
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ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/43/14/145401