Efficient precision quantization in AdS/CFT

Abstract

Understanding finite-size effects is one of the key open questions in solving planar AdS/CFT. In this paper we discuss these effects in the AdS_5xS^5 string theory at one-loop in the world-sheet coupling. First we provide a very general, efficient way to compute the fluctuation frequencies, which allows to determine the energy shift for very general multi-cut solutions. Then we apply this to two-cut solutions, in particular the giant magnon and determine the finite-size corrections at subleading order. The latter are then compared to the finite-size corrections from Luscher-Klassen-Melzer formulas and found to be in perfect agreement.

32 pages, 5 figures; v2: typos corrected, refs added

Cited by in corpus (39)

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• Y-system and Quasi-Classical Strings
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Deeper Look into Short Strings
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Macroscopic (and Microscopic) Massless Modes
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Classical Integrability for Three-point Functions: Cognate Structure at Weak and Strong Couplings
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• A next-to-leading Luescher formula
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• On the Fermionic Frequencies of Circular Strings
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• Spectral curve for open strings attached to the Y=0 brane
• Non-relativistic string monodromies
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Resummation of semiclassical short folded string
• D-branes and Orbit Average
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string