The complete one-loop dilatation operator of planar real beta-deformed
N=4 SYM theory
release_rev_56c49743-c661-4aee-a913-58e72bbcb61c
by
Jan Fokken, Christoph Sieg, Matthias Wilhelm
2015
Abstract
We determine the missing finite-size corrections to the asymptotic one-loop
dilatation operator of the real β-deformed N=4 SYM theory for
the gauge groups U(N) and SU(N) in the 't Hooft limit. In the SU(N) case,
the absence of the U(1) field components leads to a new kind of finite-size
effect, which we call prewrapping. We classify which states are potentially
affected by prewrapping at generic loop orders and comment on the necessity to
include it into the integrability-based description. As a further result, we
identify classes of n-point correlation functions which at all loop orders in
the planar theory are given by the values of their undeformed counterparts.
Finally, we determine the superconformal multiplet structure and one-loop
anomalous dimensions of all single-trace states with classical scaling
dimension Δ_0 ≤ 4.5.
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