Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM

Details Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM

2011-05-18

arxiv.org/abs/1105.3577v1

JHEP 1106:071,2011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1007/JHEP06(2011)071

We consider N=4 SYM and a class of spin N, length-3, twist operators beyond the well studied sl(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 AdS5. 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 analyze special limits in the spin N. In particular, at large N, we prove that a generalized Gribov-Lipatov reciprocity holds. At negative unphysical spin, we present a simple BFKL-like equation predicting the rightmost leading poles.

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