dc.contributor.author | FROLOV, SERGEY | |
dc.date.accessioned | 2011-01-17T17:52:41Z | |
dc.date.available | 2011-01-17T17:52:41Z | |
dc.date.issued | 2003 | |
dc.date.submitted | 2003 | en |
dc.identifier.citation | G. Arutyunov, S. Frolov, J. Russo and A. A. Tseytlin, Spinning strings in AdS(5) x S**5 and integrable systems, Nuclear Physics B, 671, 3, 2003, 3-50 | en |
dc.identifier.other | Y | |
dc.identifier.uri | http://hdl.handle.net/2262/49320 | |
dc.description | PUBLISHED | en |
dc.description.abstract | We show that solitonic solutions of the classical string action on the AdS5 ? 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 coefficient 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. | en |
dc.description.sponsorship | We are grateful to N. Beisert, M. Staudacher and S. Theisen for discussions of some
related issues. The work of G.A. was supported in part by the European Commission
RTN programme HPRN-CT-2000-00131 and by RFBI grant N02-01-00695. The work
of S.F. and A.T. was supported by the DOE grant DE-FG02-91ER40690. The workof A.T. was also supported in part by the PPARC SPG 00613 and INTAS 99-1590
grants and the Royal Society Wolfson award. The work of J.R. is supported in part by
the European Community?s Human potential Programme under the contract HPRNCT-
2000-00131, and by MCYT FPA, 2001-3598 and CIRIT GC 2001SGR-00065. J.R.
would like to thank Imperial College for hospitality during the course of this work
and acknowledges also the support of PPARC SPG 00613 grant. | en |
dc.format.extent | 3-50 | en |
dc.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.relation.ispartofseries | Nuclear Physics B; | |
dc.relation.ispartofseries | 671; | |
dc.relation.ispartofseries | 3; | |
dc.rights | Y | en |
dc.subject | Mathematics | en |
dc.subject | string theory | en |
dc.title | Spinning strings in AdS(5) x S**5 and integrable systems | en |
dc.type | Journal Article | en |
dc.type.supercollection | scholarly_publications | en |
dc.type.supercollection | refereed_publications | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/frolovs | |
dc.identifier.rssinternalid | 70413 | |
dc.identifier.rssuri | http://dx.doi.org/10.1016/j.nuclphysb.2003.08.036 | en |