Two-loop world-sheet corrections in AdS_5 x S^5 superstring

Abstract

We initiate the computation of the 2-loop quantum AdS_5 x S^5 string corrections on the example of a certain string configuration in S^5 related by an analytic continuation to a folded rotating string in AdS_5 in the ``long string'' limit. The 2-loop term in the energy of the latter should represent the subleading strong-coupling correction to the cusp anomalous dimension and thus provide a further check of recent conjectures about the exact structure of the Bethe ansatz underlying the AdS/CFT duality. We use the conformal gauge and several choices of the κ-symmetry gauge. While we are unable to verify the cancellation of 2d UV divergences we compute the bosonic contribution to the effective action and also determine the non-trivial finite part of the fermionic contribution. Both the bosonic and the fermionic contributions to the string energy happen to be proportional to the Catalan's constant. The resulting value for 2-loop superstring prediction for the subleading coefficient a_2 in the scaling function matches the numerical value found in hep-th/0611135 from the BES equation.

48 pages, 1 Figure. v3: several mistakes corrected, the finite result for the 2-loop coefficient is found to agree with the numerical value found by Benna et al in hep-th/0611135

References in corpus (56)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• A semi-classical limit of the gauge/string correspondence
• Type IIB superstring action in AdS_5 x S^5 background
• Transcendentality and Crossing
• Super-Poincare Covariant Quantization of the Superstring
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Bethe Ansatz for Quantum Strings
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• Giant Magnons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Multi-spin string solutions in AdS_5 x S^5
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Spinning strings in AdS_5 x S^5: new integrable system relations
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• Quantum corrections to the string Bethe ansatz
• Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave
• Two-Loop g -> gg Splitting Amplitudes in QCD
• Precision Spectroscopy of AdS/CFT
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• Quantizing three-spin string solution in AdS_5 x S^5
• Quantum Consistency of the Superstring in AdS_5 x S^5 Background
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• On AdS_5 x S^5 String S-matrix
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• Near Horizon Superspace
• Magnon Bound States and the AdS/CFT Correspondence
• On Quantum Corrections to Spinning Strings and Bethe Equations
• Holography Beyond the Penrose Limit
• Simplifying superstring action on AdS_5 x S^5
• On the highest transcendentality in N=4 SUSY
• Worldsheet Scattering in AdS_5 x S^5
• Superstring Vertex Operators in an AdS_5 x S^5 Background
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Infinite spin limit of semiclassical string states
• On one-loop correction to energy of spinning strings in S^5
• On the Strong Coupling Scaling Dimension of High Spin Operators
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Stringy Corrections to the Wilson Loop in N=4 Super Yang-Mills Theory
• A Universality Test of the Quantum String Bethe Ansatz
• Spinning strings in AdS_5 x S^5: one-loop correction to energy in SL(2) sector
• Planetoid String Solutions in 3 + 1 Axisymmetric Spacetimes
• Stringy sums and corrections to the quantum string Bethe ansatz
• Supersymmetric D3 brane action in AdS_5 x S^5
• Strong coupling limit of Bethe Ansatz equations
• From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra
• Conformal Fixed Points of Unidentified Gauge Theories
• One Loop Conformal Invariance of the Superstring in an AdS_5 x S^5 Background
• The scaling function at strong coupling from the quantum string Bethe equations
• 1/J^2 corrections to BMN energies from the quantum long range Landau-Lifshitz model
• Wess-Zumino term for AdS superstring
• Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
• The WZNW Model at Two Loops

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• Foundations of the AdS_5 x S^5 Superstring. Part I
• Comments on operators with large spin
• On String S-matrix, Bound States and TBA
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• String hypothesis for the AdS_5 x S^5 mirror
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• Four loop twist two, BFKL, wrapping and strings
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Spinning strings at one-loop in AdS_4 x P^3
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Exciting the GKP string at any coupling
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• A Generalized Scaling Function for AdS/CFT
• Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling
• On T-Duality and Integrability for Strings on AdS Backgrounds
• Strong-coupling expansion of cusp anomaly from quantum superstring
• The Dressing Factor and Crossing Equations
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Comment on the Scaling Function in AdS4 x CP3
• World-sheet scattering in AdS_5 x S^5 at two loops
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Quantum Wrapped Giant Magnon
• Two-dimensional S-matrices from unitarity cuts
• Functional BES equation
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Quantum integrability and functional equations
• Spiky strings, light-like Wilson loops and pp-wave anomaly
• Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Analytic three-loop Solutions for N=4 SYM Twist Operators
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• Two-loop cusp anomaly in ABJM at strong coupling
• Pomeron in the N=4 supersymmetric gauge model at strong couplings
• Quantum corrections to energy of short spinning string in AdS5
• On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
• The virtual scaling function of AdS/CFT
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
• Nonperturbative scales in AdS/CFT
• Wilson loops at large $N$ and the quantum M2 brane
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
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• Luescher formula for GKP string
• 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
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• Quark scattering amplitudes at strong coupling
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Giant magnon bound states from strongly coupled N=4 SYM
• 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
• Strong coupling expansion of Baxter equation in N=4 SYM
• On n-point Amplitudes in N=4 SYM
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• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Spiky strings in Bethe Ansatz at strong coupling
• Worldsheet scattering for the GKP string
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• Modulus stabilization in higher curvature dilaton gravity
• More about "short" spinning quantum strings
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
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• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• D1-brane in beta-Deformed Background
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• Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of Lax Connection
• Integrability and the AdS/CFT correspondence
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• Integrability treatment of AdS/CFT orbifolds
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Lattice perturbation theory for the null cusp string
• Radiative corrections to false vacuum decay in quantum mechanics
• Twistors, strings and supersymmetric gauge theories
• On type 0 string theory in solvable RR backgrounds
• On the dressing phase in the SL(2) Bethe Ansatz
• Holography on the lattice: the string worldsheet perspective
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Gauge-String Dualities and Some Applications
• Remarks on the geometrical properties of semiclassically quantized strings
• On regularizing the AdS superstring worldsheet
• Spiky Strings with Two Spins in AdS5
• Pomeron in the N=4 SYM at strong couplings
• Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism
• NNLO corrections to false vacuum decay rate in thin-wall approximation
• Worldsheet one-loop energy correction to IIA Giant Magnon
• Pomeron in the N=4 SYM