Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory

Abstract

We construct orthogonality relations in the Separation of Variables framework for the sl(2) sector of planar N=4 supersymmetric Yang-Mills theory. Specifically, we find simple universal measures that make Q-functions of operators with different spins vanish at all orders in perturbation theory, prior to wrapping corrections. To analyze this rank-one sector, we relax some of the assumptions thus far considered in the Separation of Variables framework. Our findings may serve as guidelines for extending this formalism to other sectors of the theory as well as other integrable models

35 pages, 1 figure. v2: references added, published version

References in corpus (36)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• An Operator Product Expansion for Polygonal null Wilson Loops
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• A Shortcut to the Q-Operator
• Hexagonalization of Correlation Functions
• On the Singularities of the Magnon S-matrix
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Baxter Q-Operators and Representations of Yangians
• Multipoint Bootstrap I: Light-Cone Snowflake OPE and the WL Origin
• Dual Separated Variables and Scalar Products
• Separation of variables and scalar products at any rank
• Separation of Variables in AdS/CFT: Functional Approach for the Fishnet CFT
• Separation of variables for rational gl(n) spin chains in any compact representation, via fusion, embedding morphism and Backlund flow
• The Wilson Loop -- Large Spin OPE Dictionary
• Colour-Twist Operators I: Spectrum and Wave Functions
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Semi-classical analysis of the inner product of Bethe states
• Form-factors and complete basis of observables via separation of variables for higher rank spin chains
• Functional Equations and Separation of Variables for Exact g-Function
• Regge spectroscopy of higher twist states in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• 2d QCD and Integrability, Part I: 't Hooft model
• Structure Constants in $\mathcal{N}=4$ SYM and Separation of Variables
• Integrable systems, separation of variables and the Yang-Baxter equation
• Affine Classical Lie Bialgebras for AdS/CFT Integrability
• Separation of variables for higher rank integrable models: review of recent progress
• Exact Three-Point Functions in $\mathcal{N}=2$ Superconformal Field Theories: Integrability vs. Localization
• Boundary Overlaps from Functional Separation of Variables
• New Approach to Strongly Coupled N = 4 SYM via Integrability
• Exploring Structure Constants in Planar $\mathcal{N}=4$ SYM: From Small Spin to Strong Coupling
• The 't Hooft equation as a quantum spectral curve
• Meson mass spectrum in QCD${}_2$ 't Hooft's model
• QCD${}_2$ 't Hooft model: 2-flavour mesons spectrum
• Light-Ray Wave Functions and Integrability
• Complex Spin: The Missing Zeroes and Newton's Dark Magic
• Regge trajectories and bridges between them in integrable AdS/CFT