Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring

Abstract

We revisit the computation of the 2-loop correction to the energy of a folded spinning string in AdS_5 with an angular momentum J in S^5 in the scaling limit log S, J >>1 with J / log 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 x S^5 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 x S^5 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 S^5.

50 pages, latex

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Cited by in corpus (23)

• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Quantum integrability and functional equations
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• A light-cone approach to three-point functions in AdS_5 x S^5
• Two-loop cusp anomaly in ABJM at strong coupling
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• The AdS(n) x S(n) x T(10-2n) BMN string at two loops
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Spiky strings in Bethe Ansatz at strong coupling
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Analytic Non-Integrability and S-Matrix Factorization
• Two-loop corrections to partition function of Pohlmeyer-reduced theory for AdS_5 x S^5 superstring
• Lattice perturbation theory for the null cusp string
• Holography on the lattice: the string worldsheet perspective
• Remarks on the geometrical properties of semiclassically quantized strings
• Spiky Strings with Two Spins in AdS5