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  Precision Spectroscopy of AdS/CFT

Beisert, N., Frolov, S., Staudacher, M., & Tseytlin, A. A. (2003). Precision Spectroscopy of AdS/CFT. Journal of High Energy Physics, 2003(10): 037.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5314-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5316-8
Genre: Journal Article

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51080.pdf (Preprint), 358KB
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 Creators:
Beisert, Niklas1, Author              
Frolov, Sergey, Author
Staudacher, Matthias2, Author              
Tseytlin, Arkady A., Author
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24016              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Abstract: We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS5~S5 and the scaling weights of the corresponding non-near-BPS operators in planar N = 4 supersymmetric gauge theory. On the string side the computations are feasible, using semiclassical methods, if angular momentum quantum numbers are large. This results in a prediction of gauge theory anomalous dimensions to all orders in the et Hooft coupling ƒÉ. On the gauge side the direct computation of these dimensions is feasible, using a recently discovered relation to integrable (super) spin chains, provided one considers the lowest order in ƒÉ. This oneloop computation then predicts the small-tension limit of the string spectrum for all (i.e. small or large) quantum numbers. In the overlapping window of large quantum numbers and small e ective string tension, the string theory and gauge theory results are found to match in a mathematically highly nontrivial fashion. In particular, we compare energies of states with (i) two large angular momenta in S5, and (ii) one large angular momentum in AdS5 and S5 each, and show that the solutions are related by an analytic continuation. Finally, numerical evidence is presented on the gauge side that the agreement persists also at higher (two) loop order.

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Language(s): eng - English
 Dates: 2003
 Publication Status: Published in print
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 Identifiers: eDoc: 51080
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2003 (10) Sequence Number: 037 Start / End Page: - Identifier: -