Stringing spins and spinning strings

2003/06/30 by N. Beisert, Niklas Beisert, Matthias Staudacher +5 · 309 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Composite material #Condensed matter physics #Cosmology and Gravitation Theories #Materials science #Particle physics theoretical and experimental studies #Physics #Spinning #Spins #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/09/010

published in Journal of High Energy Physics 2003(09), 010 (Springer Nature) · 27 pages, 4 figures, LaTex; v2 reference added, typos fixed

arxiv created 2003/06/30 · openalex publication_date 2003/09/03 · arxiv updated 2011/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

We apply recently developed integrable spin chain and dilatation operator techniques in order to compute the planar one-loop anomalous dimensions for certain operators containing a large number of scalar fields in N =4 Super Yang-Mills. The first set of operators, belonging to the SO(6) representations [J,L-2J,J], interpolate smoothly between the BMN case of two impurities (J=2) and the extreme case where the number of impurities equals half the total number of fields (J=L/2). 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. We then identify a second set of operators which also belong to [J,L-2J,J] representations, but which do not have a BMN limit. In this case the anomalous dimension of the [J,0,J] operator does match the Frolov-Tseytlin prediction. We also show that the fluctuation spectra for this [J,0,J] operator is consistent with the string prediction.

Citations

• Bits, matrices and 1/N
• Strings in the near plane wave background and AdS/CFT
• BMN correlators and operator mixing in super-Yang–Mills theory
• Large N phase transition in continuum QCD2
• Vector operators in the BMN correspondence
• vs. pole masses of gauge bosons II: two-loop electroweak fermion corrections
• SYM description of PP-wave string interactions: singlet sector and arbitrary impurities
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• A new double-scaling limit of =4 super-Yang–Mills theory and pp-wave strings
• Note on plane wave quantum mechanics
• BMN operators and superconformal symmetry
• Circular semiclassical string solutions on AdS5×S5
• How Algebraic Bethe Ansatz works for integrable model
• Operators with Large R-Charge in N=4 Yang–Mills Theory
• pp-wave light-cone superstring field theory
• Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge
• The large N limit of superconformal field theories and supergravity

Cited by

• The Algebraic Curve of Classical Superstrings on AdS 5×S 5
• The (2|3) dynamic spin chain