Transcendentality and Crossing
arXiv:hep-th/0610251 · doi:10.1088/1742-5468/2007/01/P01021
Abstract
We discuss possible phase factors for the S-matrix of planar N=4 gauge theory, leading to modifications at four-loop order as compared to an earlier proposal. While these result in a four-loop breakdown of perturbative BMN-scaling, Kotikov-Lipatov transcendentality in the universal scaling function for large-spin twist operators may be preserved. One particularly natural choice, unique up to one constant, modifies the overall contribution of all terms containing odd zeta functions in the earlier proposed scaling function based on a trivial phase. Excitingly, we present evidence that this choice is non-perturbatively related to a recently conjectured crossing-symmetric phase factor for perturbative string theory on AdS_5xS^5 once the constant is fixed to a particular value. Our proposal, if true, might therefore resolve the long-standing AdS/CFT discrepancies between gauge and string theory.
31 pages, v2: partial proof of strong-coupling expansion, references added
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- The generalised scaling function: a note
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- The property of maximal transcendentality: calculation of master integrals
- Wrapping Interactions and the Konishi Operator
- On the TBA and its analytic properties
- Spiky Strings and Giant Holes
- Konishi at strong coupling from ABE
- On the reflection of magnon bound states
- On Three-point Functions in the AdS_4/CFT_3 Correspondence
- Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds
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- The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
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- New Penrose Limits and AdS/CFT
- Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
- Lectures on Three-point Functions in N=4 Supersymmetric Yang-Mills Theory
- Scattering of Giant Holes
- Strings on the deformed T^{1,1}: giant magnon and single spike solutions
- Infrared Safe Observables in Super Yang-Mills Theory
- Aspects of open strings in Rindler Space
- A Spin Chain from String Theory
- 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
- TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
- From weak coupling to spinning strings
- SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
- From nesting to dressing
- Spin chain for the deformed ABJM theory
- The contribution of scalars to SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
- Three-point functions at strong coupling in the BMN limit
- Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
- Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
- Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring
- Holographic Cusped Wilson loops in -deformed Spacetime
- The Complete One-loop Spin Chain of N =1 SQCD
- The dual string sigma-model of the SU_q(3) sector
- An Origin Story for Amplitudes
- S matrix for a three-parameter integrable deformation of strings
- Y-system for -deformed ABJM Theory
- N-body Dynamics of Giant Magnons in RxS2
- On the absence of reflection in AdS4/CFT3
- Weighted Graph Colorings
- Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
- Inelastic Magnon Scattering
- On a residual freedom of the next-to-leading BFKL eigenvalue in color adjoint representation in planar SYM
- Integrability treatment of AdS/CFT orbifolds
- N=4 SYM Quantum Spectral Curve in BFKL regime
- Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch
- Deviation from Alday-Maldacena Duality For Wavy Circle
- An exact limit of ABJM
- Anatomy of the Amplituhedron
- Unified approach to the SU(2) Principal Chiral Field model at Finite Volume
- Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics
- Semiclassical Strings in AdS_5 x S^5 and Automorphic Functions
- Reciprocity and integrability in the sl(2) sector of N=4 SYM
- Second order splitting functions and infrared safe cross sections in SYM theory
- The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
- Exploring superconformal Yang-Mills theories through matrix Bessel kernels
- Logarithmic Singularities and Maximally Supersymmetric Amplitudes
- Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
- S-duality invariant perturbation theory improved by holography
- Four-loop anomalous dimensions in Leigh-Strassler deformations
- Three twist-two, two spins, two loops
- Pulsating Strings in Lunin-Maldacena Backgrounds
- QCD-like properties for anomalous dimensions in N=4 SYM
- Lattice perturbation theory for the null cusp string
- Resurgence of the Tilted Cusp Anomalous Dimension
- Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
- The Ising model and planar N=4 Yang-Mills
- Giant Spinons
- Wrapping corrections for non-diagonal boundaries in AdS/CFT
- On analytical perturbative solution of ABJM quantum spectral curve
- ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
- The Multi-Regge Limit from the Wilson Loop OPE
- On type 0 string theory in solvable RR backgrounds
- Exact result in N=4 SYM theory: Generalised double-logarithmic equation
- Holography on the lattice: the string worldsheet perspective
- New linearization and reweighting for simulations of string sigma-model on the lattice
- On the dressing phase in the SL(2) Bethe Ansatz
- Aspects of Integrability in N =4 SYM
- Highest states in light-cone superstring
- Wrapping effects in supersymmetric gauge theories
- Resumming planar diagrams for the N=6 ABJM cusped Wilson loop in light-cone gauge
- Classical Lie Bialgebras for AdS/CFT Integrability by Contraction and Reduction
- Matrix Reduction and the su(2|2) superalgebra in AdS/CFT
- Self-similar extrapolation of nonlinear problems from small-variable to large-variable limit
- DGLAP and BFKL equations in SYM: from weak to strong coupling
- Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
- Transcendentality violation in type IIB string amplitudes
- Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
- Generalised scaling at subleading order
- On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
- A note on the Near Flat Limit for strings in the Maldacena-Nunez background
- Fermion zero modes for the mixed-flux AdS giant magnon
- Recent Progress in AdS/CFT
- Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability
- An analysis of Bayesian estimates for missing higher orders in perturbative calculations
- Quantum dispersion relations for the GKP string
- Exact Results in Supersymmetric Gauge Theories
- Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
- Commuting Conformal and Dual Conformal Symmetries in the Regge limit
- Gauge-String Dualities and Some Applications
- BPS Wilson loop in superconformal "orientifold" gauge theory and weak-strong coupling interpolation
- Bound State Scattering Simplified
- On regularizing the AdS superstring worldsheet
- Quantum Spectral Curve for AdS/CFT: a proposal
- Unitarity methods for scattering in two dimensions
- Topics in Cusped/Lightcone Wilson Loops
- A semiclassical analysis of the fluctuation eigenvalues and the one-loop energy of the folded spinning superstring in AdS_5 x S^5
- The QCD spin chain S matrix
- Loop equations for generalised eigenvalue models
- Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
- Spiky Strings with Two Spins in AdS5
- Infrared structure of = 4 SYM and leading transcendentality principle in gauge theory
- 12 loops and triple wrapping in ABJM theory from integrability
- Pomeron in the N=4 SYM
- On interpolating anomalous dimension of twist-two operators with general spins
- On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix
- Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability
- Hexagon Bootstrap in the Double Scaling Limit
- On-shell Methods for Form Factors in N=4 SYM and Their Applications
- A Young diagram expansion of the hexagonal Wilson loop (amplitude) in SYM
- Boundary bound states and integrable Wilson loops in ABJM
- Quantum integrable systems. Quantitative methods in biology
- Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory