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

Abstract

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.

31 pages; v2: comments and references added; v3: clarifications and references added

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Cited by in corpus (20)

• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• Integrable Wilson loops
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Konishi operator at intermediate coupling
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• The spectrum of tachyons in AdS/CFT
• Y-system for Y=0 brane in planar AdS/CFT
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Integrable achiral D5-brane reflections and asymptotic Bethe equations
• Yangian symmetry of boundary scattering in AdS/CFT and the explicit form of bound state reflection matrices
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• Revisiting the Y=0 open spin chain at one loop
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT
• Oscillating Multiple Giants
• Wrapping corrections for non-diagonal boundaries in AdS/CFT
• Wrapping effects in supersymmetric gauge theories
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Fusion for AdS/CFT boundary S-matrices
• Boundary bound states and integrable Wilson loops in ABJM