Worldsheet Form Factors in AdS/CFT

Abstract

We formulate a set of consistency conditions appropriate to worldsheet form factors in the massive, integrable but non-relativistic, light-cone gauge fixed AdS(5) x S**5 string theory. We then perturbatively verify that these conditions hold, at tree level in the near-plane-wave limit and to one loop in the near-flat (Maldacena-Swanson) limit, for a number of specific cases. We further study the form factors in the weakly coupled dual description, verifying that the relevant conditions naturally hold for the one-loop Heisenberg spin-chain. Finally, we note that the near-plane-wave expressions for the form factors, when further expanded in small momentum or, equivalently, large charge density, reproduce the thermodynamic limit of the spin-chain results at leading order.

30 pages, 12 figures, v3: typos fixed, improved discussion of bound states and bound state axiom

References in corpus (15)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Magnon Bound States and the AdS/CFT Correspondence
• On three-point correlation functions in the gauge/gravity duality
• On the Singularities of the Magnon S-matrix
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Tailoring Three-Point Functions and Integrability III. Classical Tunneling
• Algebraic representation of correlation functions in integrable spin chains
• World-sheet scattering in AdS_5 x S^5 at two loops
• N=4 SYM structure constants as determinants
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Holographic 3-point function at one loop
• The SO(6) Scalar Product and Three-Point Functions from Integrability
• OPE in planar QCD from integrability

Cited by in corpus (19)

• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• HHL correlators, orbit averaging and form factors
• Two-dimensional S-matrices from unitarity cuts
• 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
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling
• String Bits and the Spin Vertex
• Correlation functions of local composite operators from generalized unitarity
• Comments on World-Sheet Form Factors in AdS/CFT
• Exact form factors of the O(N) $\sigma$-model
• 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
• Cutting the cylinder into squares: The square form factor
• On correlation functions in the coordinate and the algebraic Bethe ansatz
• A study of integrable form factors in massless relativistic $Ad{S}_2$