Comments on World-Sheet Form Factors in AdS/CFT

Abstract

We study form factors in the light-cone gauge world-sheet theory for strings in AdS_5 x S^5. We perturbatively calculate the two-particle form factor in a closed su(2) sector to one-loop in the near-plane-wave limit and to two-loops in the Maldacena-Swanson limit. We also perturbatively solve the functional equation which follows from the form factor axioms for the world-sheet theory and show that the "minimal" solution correctly reproduces the discontinuities of the perturbative calculations. Finally we propose a prescription, valid for polynomial orders of the inverse world-sheet length, for extracting the finite-volume world-sheet matrix element from the form factors and show that the two-excitation matrix element matches with the thermodynamic limit of the spin-chain description of certain tree-level N=4 SYM structure constants.

28 pages, 1 figure

References in corpus (17)

• Finite-size Effects from Giant Magnons
• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Form factors in finite volume I: form factor bootstrap and truncated conformal space
• On three-point correlation functions in the gauge/gravity duality
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• World-sheet scattering in AdS_5 x S^5 at two loops
• Two-dimensional S-matrices from unitarity cuts
• Tailoring Three-Point Functions and Integrability IV. Theta-morphism
• Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Multiple integral formulae for the scalar product of on-shell and off-shell Bethe vectors in SU(3)-invariant models
• Light-Cone String Field Theory in a Plane Wave Background
• The nested SU(N) off-shell Bethe ansatz and exact form factors
• Diagonal multi-soliton matrix elements in finite volume
• Colour-independent partition functions in coloured vertex models
• The SO(6) Scalar Product and Three-Point Functions from Integrability
• Slavnov determinants, Yang-Mills structure constants, and discrete KP

Cited by in corpus (11)

• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• HHL correlators, orbit averaging and form factors
• String field theory vertex from integrability
• Tailoring Non-Compact Spin Chains
• The hexagon in the mirror: the three-point function in the SoV representation
• Three-Point Functions and su(1|1) Spin Chains
• Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling
• A study of integrable form factors in massless relativistic AdS_3
• Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model
• On correlation functions in the coordinate and the algebraic Bethe ansatz
• A study of integrable form factors in massless relativistic $Ad{S}_2$