Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2013-22

The complete one-loop dilatation operator of planar real beta-deformed N=4SYM theory.


Jan Fokken, Christoph Sieg, Matthias Wilhelm


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2013-22


MSC 2000:


Abstract: We determine the missing finite-size corrections to the asymptotic oneloop
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 it 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 oneloop
anomalous dimensions of all single-trace states with classical scaling dimension
\delta_0 ≤ 4.5.