Four-loop perturbative Konishi from strings and finite size effects for multiparticle states

Abstract

We derive the perturbative four loop anomalous dimension of the Konishi operator in N=4 SYM theory from the integrable string sigma model by evaluating the finite size effects using Luscher formulas adapted to multimagnon states at weak coupling. We obtain these multiparticle generalizations of Luscher formulas by studying certain exactly solvable relativistic integrable quantum field theories. The final result involves a summation of all bound states in the mirror theory and agrees with gauge theory perturbative computations.

37 pages; v2: references added, added comparison with corrected perturbative results, v3: mismatched conventions in appendices fixed, no changes in the main text; v4: ref. added, typos corrected

References in corpus (16)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• On String S-matrix, Bound States and TBA
• Magnon Bound States and the AdS/CFT Correspondence
• Wrapping at four loops in N=4 SYM
• On the Singularities of the Magnon S-matrix
• Wrapping interactions at strong coupling -- the giant magnon
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The S-matrix of String Bound States
• Exact expressions for quantum corrections to spinning strings
• The Four-Loop Dressing Phase of N=4 SYM
• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Finite size effects for giant magnons on physical strings
• Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors

Cited by in corpus (29)

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• The all loop AdS4/CFT3 Bethe ansatz
• String hypothesis for the AdS_5 x S^5 mirror
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Wrapping at four loops in N=4 SYM
• Exacting N=4 Superconformal Symmetry
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Twist-three at five loops, Bethe Ansatz and wrapping
• Finite-Size Effects for Dyonic Giant Magnons
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• The virtual scaling function of AdS/CFT
• Four loop reciprocity of twist two operators in N=4 SYM
• Finite-Size Effects for Multi-Magnon States
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Non-planar ABJM Theory and Integrability
• Discrete Hirota dynamics for AdS/CFT
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Universal blocks of the AdS/CFT Scattering Matrix
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Bethe ansatz equations for open spin chains from giant gravitons
• The Bethe Ansatz for AdS5 x S5 Bound States
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Yangian Symmetry, S-Matrices and Bethe Ansatz for the AdS5 x S5 Superstring