Integrability for the Full Spectrum of Planar AdS/CFT

Understand

We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory.

• It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on the AdS_5xS^5 background.
• This Y-system passes some very important tests: it incorporates the full asymptotic Bethe ansatz at large length of operator L, including the dressing factor, and it confirms all recently found wrapping corrections.
• The recently proposed AdS_4/CFT_3 duality is also treated in a similar fashion.