BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
By N. Beisert, C. Kristjansen, J. Plefka, G. Semenoff, M. Staudacher. 2002
270 citations recorded by the source corpus.
Correlation functions in perturbative N=4 supersymmetric Yang-Mills theory are examined in the Berenstein-Maldacena-Nastase (BMN) limit. We demonstrate that non-extremal four-point functions of chiral primary fields are ill-defined in that limit. This lends support to the assertion that only gauge theoretic two-point functions should be compared to pp-wave strings. We further refine the analysis of the recently discovered non-planar corrections to the planar BMN limit. In particular, a full resolution to the genus one operator mixing problem is presented, leading to modifications in the map between BMN operators and string states. We give a perturbative construction of the correct operators and we identify their anomalous dimensions. We also distinguish symmetric, antisymmetric and singlet operators and find, interestingly, the same torus anomalous dimension for all three. Finally, it is discussed how operator mixing effects modify three point functions at the classical level and, at one loop, allow us to recover conformal invariance.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7c74ee261da34bb5c534d3a6bf7bfc1c7fd053c4
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Citations in the corpus
- Superstring interactions in a pp -wave background (2002, background): “single- (double-, etc.) string states and single- (double-, etc.) trace BMN operators gets corrected [ 18-20 ].”
- Stringing Spins and Spinning Strings (2003, background): “The result for this particular [J, 0, J ] operator is smaller than the anomalous dimension derived by Frolov and Tseytlin [hep-th/0304255] for a semiclassical string configuration which is the dual of a gauge invariant operator in the same representation.”
- The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, methodology): “This is yet another confirmation of the AdS/CFT correspondence, but for the first time within an interacting string theory! In the study of the BMN correspondence, the attention has been shifted away from lower dimensional operators to operators with a large number of constituent fields [18,19, 21,2”
- Tailoring three-point functions and integrability (2010, background): “7](1,8)(1,5) 5:455824 [4;4](2,8)[2;8] 5:200983 [4;5](2,6)(1,5) 3 p 5=10 15=2 [3;5](2,8)[1;5] 0:298032 (1,5)[0;7](2,6) 13 p 5=10 19=2 [4;6](2,8)[2;6] 0:298032 (1,5)[0;8](2,7) 43=3 BPSBPS(2,8) 5:200983 [4;7](2,8)(1,5) 11:213849 Table 3: Data for the ratio between the one-loop and tree-level structure ”
- The N=4 SYM Integrable Super Spin Chain (2003, unknown): “Pq”
- Operator mixing and the BMN correspondence (2002, unknown): “drafting this note, the paper [ 13 ] was submitted to the archive with similar methodology and results, for a larger class of operators.”
- Multi-spin string solutions in AdS5×S5 (2003, methodology): “20 Diagonalizing the matrix of anomalous dimensions from [ 9 ,10] one finds also an operator”
- More comments on superstring interactions in the pp-wave background (2002, unknown): “A first study of four-point correlation functions in the BMN limit was initiated in [28].”
- The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory (2003, methodology): “After multiplication with g(2) YMN/8π 2 this is exactly the effective vertex found in [20] and yields the dilatation generators in [25,22,23].”