HHL correlators, orbit averaging and form factors

Abstract

We argue that the conventional method to calculate the OPE coefficients in the strong coupling limit for heavy-heavy-light operators in the N=4 Super-Yang-Mills theory has to be modified by integrating the light vertex operator not only over a single string worldsheet but also over the moduli space of classical solutions corresponding to the heavy states. This reflects the fact that we are primarily interested in energy eigenstates and not coherent states. We tested our prescription for the BMN vacuum correlator, for folded strings on $S^5$ and for two-particle states. Our prescription for two-particle states with the dilaton leads to a volume dependence which matches exactly to the structure of finite volume diagonal formfactors. As the volume depence does not rely on the particular light operator we conjecture that symmetric OPE coefficients can be described for any coupling by finite volume diagonal form factors.

arXiv comment32 pages, 1 figure; v2: small corrections including signs, references added

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Cited by in corpus (37)

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• Higher-point conformal blocks and entanglement entropy in heavy states
• Structure constants at wrapping order
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• String field theory vertex from integrability
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• Growing Extra Dimensions in AdS/CFT
• The hexagon in the mirror: the three-point function in the SoV representation
• From the octagon to the SFT vertex - gluing and multiple wrapping
• Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling
• Hexagons and Correlators in the Fishnet Theory
• String Bits and the Spin Vertex
• Three-point correlators from string amplitudes: Mixing and Regge spins
• Diagonal form factors and hexagon form factors
• Diagonal finite volume matrix elements in the sinh-Gordon model
• Classical limit of diagonal form factors and HHL correlators
• Exact finite volume expectation values of local operators in excited states
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• Exact finite volume expectation values of conserved currents
• Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
• Orbit Averaging Coherent States: Holographic Three-Point Functions of AdS Giant Gravitons
• The kinematical AdS5xS5 Neumann coefficient
• Holographic correlators of semiclassical states in defect CFTs
• Three-point functions at strong coupling in the BMN limit
• Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light Operator
• Exact finite volume expectation values of $\bar{\Psi }\Psi$ in the Massive Thirring model from light-cone lattice correlators
• D-branes and Orbit Average
• Lattice approach to finite volume form-factors of the Massive Thirring/Sine-Gordon model
• A study of integrable form factors in massless relativistic AdS_3
• On the finite volume expectation values of local operators in the sine-Gordon model
• From Spin Vertex to String Vertex
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• A study of integrable form factors in massless relativistic $Ad{S}_2$
• Finite volume form factors in integrable theories
• Entanglement and mixed states of Young tableau states in gauge/gravity correspondence
• Holographic Wilson Loop One-point Functions in ABJM Theory
• Norm of Bethe-wave functions in the continuum limit