Five loop Konishi from AdS/CFT
Absztrakt:
We derive the perturbative five loop anomalous dimension of the
Konishi operator in N = 4 SYM theory from the integrable string
sigma model by evaluating finite size effects using Luscher
formulas adapted to multimagnon states at weak coupling. In
addition, we derive the five loop wrapping contribution for the
L = 2 single impurity state in the beta deformed theory, which
may be within reach of a direct perturbative computation. The
Konishi expression exhibits two new features - a modification of
Asymptotic Bethe Ansatz quantization and sensitiveness to an
infinite set of coefficients of the BES/BHL dressing phase. The
result satisfies nontrivial self-consistency conditions - simple
transcendentality structure and cancellation of mu-term poles.
It may be a testing ground for the proposed AdS/CIFT TBA
systems. (C) 2009 Elsevier B.V. All rights reserved.