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

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• 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