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Wrapping corrections and reciprocity beyond the subsector in SYM

Wrapping corrections and reciprocity beyond the subsector in SYM,10.1007/JHEP06(2011)071,Journal of High Energy Physics,Matteo Beccaria,Guido Macorini

Wrapping corrections and reciprocity beyond the subsector in SYM  
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We consider SYM and a class of spin N, length-3, twist operators beyond the well studied 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.
Journal: Journal of High Energy Physics - J HIGH ENERGY PHYS , vol. 2011, no. 6, pp. 1-19, 2011
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