Subleading corrections to the Double Coset Ansatz preserve integrability
arXiv:1312.6230 · doi:10.1007/JHEP02(2014)079
Abstract
In this article we compute the anomalous dimensions for a class of operators, belonging to the SU(3) sector of the theory, that have a bare dimension of order N. For these operators the large N limit and the planar limit are distinct and summing only the planar diagrams will not capture the large N dynamics. Although the spectrum of anomalous dimensions has been computed for this class of operators, previous studies have neglected certain terms which were argued to be small. After dropping these terms diagonalizing the dilatation operator reduces to diagonalizing a set of decoupled oscillators. In this article we explicitly compute the terms which were neglected previously and show that diagonalizing the dilatation operator still reduces to diagonalizing a set of decoupled oscillators.
1 + 39 pages; v2: references added
References in corpus (8)
- Diagonal multi-matrix correlators and BPS operators in N=4 SYM
- Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
- Nonplanar Integrability
- Giant Gravitons - with Strings Attached (III)
- Giant Gravitons - with Strings Attached (II)
- Enhanced symmetries of gauge theory and resolving the spectrum of local operators
- Surprisingly Simple Spectra
- From counting to construction of BPS states in N=4 SYM