The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve

Abstract

We propose a method for computing the energy level spacing around classical string solutions in AdS(5)xS(5). This method is based on the integrable structure of the string and can be applied to an arbitrary classical configuration. Our approach treats in equal footing the bosonic and fermionic excitations and provides an unambiguous prescription for the labeling of the fluctuation frequencies. Finally we revisit the computation of these frequencies for the SU(2) and SL(2) circular strings and compare our results to the existing ones.

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• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• Lectures on the Bethe Ansatz
• Y-system and Quasi-Classical Strings
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
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• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Quantum Wrapped Giant Magnon
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Quantum integrability and functional equations
• 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
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• Correlation Function of Circular Wilson Loops at Strong Coupling
• Macroscopic (and Microscopic) Massless Modes
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Classical Integrability for Three-point Functions: Cognate Structure at Weak and Strong Couplings
• Giant Magnons on CP^3 by Dressing Method
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• A new integral representation for the scalar products of Bethe states for the XXX spin chain
• A review of the AdS/CFT Quantum Spectral Curve
• The plane-wave spectrum from the worldsheet
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$
• On the Fermionic Frequencies of Circular Strings
• Toy models for wrapping effects
• Algebraic Curve for a Cusped Wilson Line
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• More about "short" spinning quantum strings
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• Non-relativistic string monodromies
• Spectral curve for open strings attached to the Y=0 brane
• Integrability treatment of AdS/CFT orbifolds
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Functional Determinants of Radial Operators in $Ad{S}_2$
• Resummation of semiclassical short folded string
• Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
• Spectral curve for gamma-deformed AdS/CFT
• On the algebraic curves for circular and folded strings in ${\text{AdS}}_5\times S^5$
• Leading quantum correction to energy of "short" spiky strings