Abstract
We consider \( \mathcal{N} = 4 \) SYM and a class of spin N, length-3, twist operators beyond the well studied \( \mathfrak{s}\mathfrak{l}(2) \) subsector. They can be identified at one-loop with three gluon operators. At strong coupling, they are associated with spinning strings with two spins in AdS 5. We exploit the Y-system to compute the leading weak-coupling four loop wrapping correction to their anomalous dimension. The result is written in closed form as a function of the spin N. We combine the wrapping correction with the known four-loop asymptotic Bethe Ansatz contribution and study the large spin limit of the (minimal) anomalous dimension. In particular, we prove that a generalized Gribov-Lipatov reciprocity holds. At negative unphysical spin, we present a simple conjecture for the resummation of the rightmost leading poles.
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ArXiv ePrint: 1105.3577
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Beccaria, M., Macorini, G. & Ratti, C.A. Wrapping corrections and reciprocity beyond the \( \mathfrak{s}\mathfrak{l}(2) \) subsector in \( \mathcal{N} = 4 \) SYM. J. High Energ. Phys. 2011, 71 (2011). https://doi.org/10.1007/JHEP06(2011)071
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DOI: https://doi.org/10.1007/JHEP06(2011)071