2009/11/30 by Lisa Freyhult, Adam Rej, Stefan Zieme · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Central charge #Covariant transformation #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Observable #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Scaling #Spins #hep-th
paper · pdf · open access · doi:10.1007/jhep02(2010)050
published in Journal of High Energy Physics 2010(2) (Springer Nature) · 23 pages, 3 figures, minor changes, references added
arxiv created 2010/01/04 · openalex publication_date 2010/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We identify the gauge theory dual of a spinning string of minimal energy with spins S 1, S 2 on AdS 5 and charge J on S 5. For this purpose we focus on a certain set of local operators with two different types of covariant derivatives acting on complex scalar fields. We analyse the corresponding nested Bethe equations for the ground states in the limit of large spins. The auxiliary Bethe roots form certain string configurations in the complex plane, which enable us to derive integral equations for the leading and sub-leading contribution to the anomalous dimension. The results can be expressed through the observables of the \mathfraksl(2) sub-sector, i.e. the cusp anomaly f(g) and the virtual scaling function B L (g), rendering the strong-coupling analysis straightforward. Furthermore, we also study a particular sub-class of these operators specialising to a scaling limit with finite values of the second spin at weak and strong coupling.