A new representation for two- and three-point correlators of operators from sl(2) sector

Abstract

We construct a new representation for two- and three-point correlators of operators from sl(2) sector of planar N = 4 SYM. The spin and twist of operators are arbitrary. We start with the correlation function of light-ray operators and carry out a projection to particular local operators using the method of Separated Variables. With the same calculation we obtain polynomials which are dual to wave functions of sl(2,R) spin-chain.

19 pages, 5 figures

References in corpus (4)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Tailoring Non-Compact Spin Chains
• Tailoring Three-Point Functions and Integrability IV. Theta-morphism
• Three-loop universal structure constants in N=4 susy Yang-Mills theory

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• The hexagon in the mirror: the three-point function in the SoV representation
• Fixing the Quantum Three-Point Function
• Novel construction and the monodromy relation for three-point functions at weak coupling
• String Bits and the Spin Vertex
• New Compact Construction of Eigenstates for Supersymmetric Spin Chains
• Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light Operator
• Structure constants of twist-two light-ray operators in the triple Regge limit
• Separation of variables for higher rank integrable models: review of recent progress