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Finite size corrections for open strings/open chains in planar AdS/CFT

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arxiv 0905.1700 v3 pith:7CDZKKLC submitted 2009-05-11 hep-th

Finite size corrections for open strings/open chains in planar AdS/CFT

classification hep-th
keywords opencorrectionenergyfiniteleadingplanarsizestrings
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We identify the leading finite-size (Luscher-type) correction to the energy of open strings ending on maximal giant gravitons. In particular we obtain the leading finite size correction at weak 't Hooft coupling and in the planar limit to the energy of very short vacuum states. These results are shown to agree with certain 1, 2, 3 and 4-loop dual gauge theory perturbative calculations, which we also perform.

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    Boundary Yangian symmetry fixes a two-parameter family of integrable reflection matrices for SU(1|2) boundaries with a degree of freedom, realized in ABJM Wilson loops as a boundary bound state.