Generalized scaling function from light-cone gauge AdS 5 × S5 superstring

S. Giombi, R. Ricci, R. Roiban, A. A. Tseytlin, C. Vergu

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We revisit the computation of the 2-loop correction to the energy of a folded spinning string in AdS5 with an angular momentum J in S5 in the scaling limit ln S « 1, J/√λ ln S = fixed. This correction gives the third term in the strong-coupling expansion of the generalized scaling function. The computation, using the AdS light-cone gauge approach developed in our previous paper, is done by expanding the AdS 5 × S5 superstring partition function near the generalized null cusp world surface associated to the spinning string solution. The result corrects and extends the previous conformal gauge result of arXiv:0712.2479 and is found to be in complete agreement with the corresponding terms in the generalized scaling function as obtained from the asymptotic Bethe ansatz in arXiv:0805.4615 (and also partially from the quantum O(6) model and the Bethe ansatz data in arXiv:0809.4952). This provides a highly nontrivial strong coupling comparison of the Bethe ansatz proposal with the quantum AdS 5 × S5 superstring theory, which goes beyond the leading semiclassical term effectively controlled by the underlying algebraic curve. The 2-loop computation we perform involves all the structures in the AdS light-cone gauge superstring action of hep-th/0009171 and thus tests its ultraviolet finiteness and, through the agreement with the Bethe ansatz, its quantum integrability. We do most of the computations for a generalized spinning string solution or the corresponding null cusp surface that involves both the orbital momentum and the winding in a large circle of S5.

Original languageEnglish (US)
Article number60
JournalJournal of High Energy Physics
Volume2010
Issue number6
DOIs
StatePublished - Jan 1 2010

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cones
metal spinning
scaling
strings
cusps
string theory
proposals
partitions
angular momentum
momentum
orbitals
expansion
curves
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Giombi, S. ; Ricci, R. ; Roiban, R. ; Tseytlin, A. A. ; Vergu, C. / Generalized scaling function from light-cone gauge AdS 5 × S5 superstring. In: Journal of High Energy Physics. 2010 ; Vol. 2010, No. 6.
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Generalized scaling function from light-cone gauge AdS 5 × S5 superstring. / Giombi, S.; Ricci, R.; Roiban, R.; Tseytlin, A. A.; Vergu, C.

In: Journal of High Energy Physics, Vol. 2010, No. 6, 60, 01.01.2010.

Research output: Contribution to journalArticle

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