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Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
High Energy Physics - Theory · Submitted 9 Feb 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | result 0.60 | 0.88 | 0.89 | hedged possibility 0.56 |
| s1 | 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. | method 0.84 | 0.96 | 0.10 | asserted 0.94 |
| s2 | We also show that the term of maximal transcendentality coincides for both magnons to all L. | result 1.00 | 0.94 | 0.16 | asserted 1.00 |
| s3 | 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. | result 0.82 | 0.96 | 0.06 | asserted 1.00 |
| s4 | 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. | result 0.51 | 0.94 | 0.11 | asserted 0.99 |
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Original 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.
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References
How the literature uses it
19 arXiv papers cite this in 27 sentences
What it cites · 29 sentences without a confident label
Uses data or values from 1 paper
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Furthermore, using (see the appendix in [ref] ) I_4^(1) = 1/2ζ(3) + 5/2ζ(5) , I_4^(2) = -3/2 ζ(3) + 5/2 ζ(5) , we get the first non-trivial wrapping correction to the operator of length four as δγ_4^1/2 = 512 ζ(3) -640 ζ(5) .
Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM · Equality of magnon energies · 0.92
Compares with 1 paper
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For example, the $p̃=π$, $β= 1/2$ magnon correction, given by [ref], vanishes for all odd $L$, while the string theory correction of [ref] does not do so.
Giant magnons in TsT-transformed AdS_5 x S^5 · Conclusions · 0.90
Cites as background 6 papers
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Wrapping calculations have been performed in the deformed theory for operators corresponding to one and two magnons [ref] , and the first finite size correction to the giant magnon dispersion relation has been obtained on the string side [ref] .
Giant magnons in TsT-transformed AdS_5 x S^5 · Introduction · 0.93
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Wrapping calculations have been performed in the deformed theory for operators corresponding to one and two magnons [ref] , and the first finite size correction to the giant magnon dispersion relation has been obtained on the string side [ref] .
Finite-size effects in the superconformal beta-deformed N=4 SYM · Introduction · 0.93
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Wrapping calculations have been performed in the deformed theory for operators corresponding to one and two magnons [ref] , and the first finite size correction to the giant magnon dispersion relation has been obtained on the string side [ref] .
Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM · Introduction · 0.93
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