Boundary finite size corrections for multiparticle states and planar AdS/CFT

Abstract

We propose formulas for the Lüscher type finite size energy correction of multiparticle states on the interval and evaluate them for the simplest case in the AdS/CFT setting. By this we determine the leading wrapping correction to the anomalous dimension of the simplest determinant type operator, which corresponds to a one particle state on the Y=0 brane.

21 pages, 22 eps figures, v2: references added, v3: typos, fermionic signs are corrected in section 4, explicit results simplified, conclusion is unchanged

References in corpus (21)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• On String S-matrix, Bound States and TBA
• String hypothesis for the AdS_5 x S^5 mirror
• Wrapping at four loops in N=4 SYM
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The S-matrix of String Bound States
• Twist-three at five loops, Bethe Ansatz and wrapping
• Classical Open String Integrability
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Four loop reciprocity of twist two operators in N=4 SYM
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• The Bajnok-Janik formula and wrapping corrections
• Comments on the Boundary Scattering Phase
• Reflecting Magnon Bound States
• The Bethe Ansatz Equations for Reflecting Magnons
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Boundary one-point function, Casimir energy and boundary state formalism in D+1 dimensional QFT
• Sinh-Gordon Boundary TBA and Boundary Liouville Reflection Amplitude
• Bethe ansatz equations for open spin chains from giant gravitons
• Issues on magnon reflection

Cited by in corpus (16)

• Integrable Wilson loops
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• The spectrum of tachyons in AdS/CFT
• Achiral boundaries and the twisted Yangian of the D5-brane
• Y-system for Y=0 brane in planar AdS/CFT
• Yangian symmetry of boundary scattering in AdS/CFT and the explicit form of bound state reflection matrices
• Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries
• Spectral curve for open strings attached to the Y=0 brane
• Revisiting the Y=0 open spin chain at one loop
• On integrable boundaries in the 2 dimensional $O(N)$ $\sigma$-models
• Reflection algebra, Yangian symmetry and bound-states in AdS/CFT
• Algebraic Bethe Ansatz for O(2N) sigma models with integrable diagonal boundaries
• Wrapping corrections for non-diagonal boundaries in AdS/CFT
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton