Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators

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dc.creatorRoiban, R.
dc.creatorTseytlin, A. A.
dc.date2007-12-17
dc.date2008-01-29
dc.date.accessioned2026-07-07T11:13:46Z
dc.date.available2026-07-07T11:13:46Z
dc.descriptionWe consider folded spinning strings in AdS_5xS^5 (with one spin component S in AdS_5 and J in S^5) corresponding to the Tr(D^S Z^J) operators in the sl(2) sector of the N=4 SYM theory in the special scaling limit in which both the string mass M ~ \sqrt λ\ln S and J are sent to infinity with their ratio fixed. Expanding in the parameter \el= J/M we compute the 2-loop string sigma model correction to the string energy and show that it agrees with the expression proposed by Alday and Maldacena in arxiv:0708.0672. We suggest that a resummation of the logarithmic \el^2 \ln^n \el terms is necessary in order to establish an interpolation to the weakly coupled gauge theory results. In the process, we set up a general framework for the calculation of higher loop corrections to the energy of multi-spin string configurations. In particular, we find that in addition to the direct 2-loop term in the string energy there is a contribution from lower loop order due to a finite ``renormalization'' of the relation between the parameters of the classical solution and the fixed spins, i.e. the charges of the SO(2,4) x SO(6) symmetry.
dc.description31 pages, Latex. v2:minor corrections; few comments and references added v3: typos corrected
dc.identifierhttps://arxiv.org/abs/0712.2479
dc.identifierhttp://arxiv.org/abs/0712.2479
dc.identifierPhys.Rev.D77:066006,2008
dc.identifierdoi:10.1103/PhysRevD.77.066006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191835
dc.subjectHigh Energy Physics - Theory
dc.titleSpinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
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