Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills

Abstract

In this note we give evidence for an equality of the spectra, including wrapping, of the SU(2)-sector spin chain for real deformations beta and beta+1/L, in marginally beta-deformed N=4 Yang-Mills, which appears after relaxing the cyclicity constraint. Evidence for the equality is given by evaluating the first wrapping correction to the energy of the undeformed magnon of momentum pi, and the beta=1/2, physical magnon, for several spin chain lengths L. We also show that the term of maximal transcendentality coincides for both magnons to all L. As a by-product we provide an expression for the first wrapping correction to the beta = 1/2 single-magnon operator dimension, valid for all even L. We then apply the symmetry to the magnon dispersion relation of N=4, obtaining its first wrapping correction for a discrete set of magnon momenta.

17 pages, v2: minor corrections and references added, v3: new discussion on odd L case, reference added, accepted by JHEP

References in corpus (37)

• Gauge Theory Correlators from Non-Critical String Theory
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• The su(2|2) Dynamic S-Matrix
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Lax Pair for Strings in Lunin-Maldacena Background
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• On String S-matrix, Bound States and TBA
• Anomalous dimensions of Wilson operators in N=4 SYM theory
• Dressing and Wrapping
• Deformations of N=4 SYM and integrable spin chain models
• 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
• Exact results in planar N=1 superconformal Yang-Mills theory
• Wrapping interactions and the genus expansion of the 2-point function of composite operators
• Twist-three at five loops, Bethe Ansatz and wrapping
• Giant magnons in TsT-transformed AdS_5 x S^5
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution
• Finite-Size Effects for Multi-Magnon States
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Magnons and BFKL

Cited by in corpus (18)

• Five-loop Konishi from the Mirror TBA
• Exploring the mirror TBA
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Non-conformality of gamma_i-deformed N=4 SYM theory
• Twisting the Mirror TBA
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Twisted Bethe equations from a twisted S-matrix
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
• Twist operators in N=4 beta-deformed theory
• On wrapping corrections to GKP-like operators
• Y-system for Y=0 brane in planar AdS/CFT
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Y-system for $\gamma$-deformed ABJM Theory
• Contour deformation trick in hybrid NLIE
• Wrapping effects in supersymmetric gauge theories