Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-02-09
JHEP 0904:130,2009
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, v2: minor corrections and references added, v3: new discussion on odd L case, reference added, accepted by JHEP
Scientific paper
10.1088/1126-6708/2009/04/130
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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