Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric Yang-Mills Theory
Abstract
We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 supersymmetric Yang-Mills theory. It takes the form of a Y system based on the integrability of the dual superstring σ model on the five-dimensional anti-de Sitter space (AdS5×S5) 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 AdS4/three-dimensional conformal field theory duality is also treated in a similar fashion.
- Publication:
-
Physical Review Letters
- Pub Date:
- September 2009
- DOI:
- 10.1103/PhysRevLett.103.131601
- arXiv:
- arXiv:0901.3753
- Bibcode:
- 2009PhRvL.103m1601G
- Keywords:
-
- Gauge/string duality;
- Other nonperturbative techniques;
- Other internal and higher symmetries;
- Supersymmetry;
- 11.25.Tq;
- 11.15.Tk;
- 11.30.Ly;
- 11.30.Pb;
- Gauge/string duality;
- Other nonperturbative techniques;
- Other internal and higher symmetries;
- Supersymmetry;
- High Energy Physics - Theory
- E-Print:
- 5 pages, 2 figures. v2: Typos corrected, references added, wrapping effects in AdS4/CFP3 corrected, v3: Typos corrected