Abstract:
The 4d N=4 SYM theory at finite Nc possesses many interesting properties which
disappear in the planar limit. However, these properties have not been
well-understood
because non-planar problems are considered to be non-integrable.
In this talk, I will revisit the non-planar operator mixing of N=4 SYM
at one-loop
from large Nc to small Nc. The large Nc spectrum of anomalous
dimensions is related to
four-point functions, asymptotic causality of AdS_5 x S^5 spacetime
and partial non-planar integrability, while the small Nc spectrum is
related to level-crossing, unitarity and
bound states of branes.
This work is based on the joint work with Yusuke Kimura, arXiv:1503.06210.