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  Spinning strings in AdS5 x S5 and integrable systems

Arutyunov, G., Frolov, S., Russo, J., & Tseytlin, A. A. (2003). Spinning strings in AdS5 x S5 and integrable systems. Nuclear Physics B, 671, 3-50.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-530C-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-530D-D
Genre: Journal Article

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51054.pdf (Preprint), 417KB
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 Creators:
Arutyunov, Gleb1, Author
Frolov, Sergey, Author
Russo, J., Author
Tseytlin, Arkady A., Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Abstract: We show that solitonic solutions of the classical string action on the AdS5 x S5 background that carry charges (spins) of the Cartan subalgebra of the global symmetry group can be classified in terms of periodic solutions of the Neumann integrable system. We derive equations which determine the energy of these solitons as a function of spins. In the limit of large spins J, the first subleading 1/J coefcient in the expansion of the string energy is expected to be non-renormalised to all orders in the inverse string tension expansion and thus can be directly compared to the 1-loop anomalous dimensions of the corresponding composite operators in N = 4 super YM theory. We obtain a closed system of equations that determines this subleading coefficient and, therefore, the 1-loop anomalous dimensions of the dual SYM operators. We expect that an equivalent system of equations should follow from the thermodynamic limit of the algebraic Bethe ansatz for the SO(6) spin chain derived from SYM theory. We also identify a particular string solution whose classical energy exactly reproduces the one-loop anomalous dimension of a certain set of SYM operators with two independent R charges J1, J2.

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 Dates: 2003
 Publication Status: Published in print
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 Identifiers: eDoc: 51054
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Title: Nuclear Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 671 Sequence Number: - Start / End Page: 3 - 50 Identifier: -