On the Spectrum of the AdS_5xS^5 String at large lambda

Abstract

We put forth a program for perturbatively quantizing the bosonic sector of the IIB superstring on AdS_5xS^5 in the large radius of curvature R (i.e. flat-space) limit, and in light-cone gauge. Using the quantization of the massive particle on AdS_5xS^5 as a guiding exercise, we read off the correct scaling of the particle coordinates in the large radius limit. In the corresponding large \sqrtλ=R^2/α' limit of the string the oscillator modes must be scaled differently from the zero modes. We compute the bosonic string Hamiltonian in this limit which gives the flat-space mass-squared operator at leading order, followed by a harmonic oscillator potential in the zero modes at subleading order. Using these ingredients we calculate the leading and sub-leading terms in the conformal dimension of the length-four Konishi state in the large-λlimit. Furthermore we work out the relevant terms of the energy expansion to next-to-next-to leading order, which are plagued by severe ordering ambiguities. This prevents us from determining the corrections to the spectrum at order λ^{-1/4}.

24 pages. v2: typos fixed

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• Quantum folded string and integrability: from finite size effects to Konishi dimension
• The Konishi multiplet at strong coupling
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Deeper Look into Short Strings
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Scaling dimensions from the mirror TBA
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Orbit method quantization of the AdS${}_2$ superparticle
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• Quantization of AdS x S particle in static gauge
• Coset construction of AdS particle dynamics