Conformal four point functions and the operator product expansion

  title={Conformal four point functions and the operator product expansion},
  author={F. A. H. Dolan and Hugh Osborn},
  journal={Nuclear Physics},
Superconformal symmetry, correlation functions and the operator product expansion
Conformal two-point correlation functions from the operator product expansion
We compute the most general embedding space two-point function in arbitrary Lorentz representations in the context of the recently introduced formalism in [ 1 , 2 ]. This work provides a first
Four-point functions in N = 4 SYM
A new derivation is given of four-point functions of charge Q chiral primary multiplets in N = 4 supersymmetric Yang-Mills theory. A compact formula, valid for arbitrary Q, is given which is
Conformal four-point correlation functions from the operator product expansion
Abstract We show how to compute conformal blocks of operators in arbitrary Lorentz representations using the formalism described in [1, 2] and present several explicit examples of blocks derived via
New methods for conformal correlation functions
The most general operator product expansion in conformal field theory is obtained using the embedding space formalism and a new uplift for general quasi-primary operators. The uplift introduced here,
Dispersion relation for CFT four-point functions
We present a dispersion relation in conformal field theory which expresses the four point function as an integral over its single discontinuity. Exploiting the analytic properties of the OPE and
Aspects of superconformal field theories in six dimensions
We introduce the analytic superspace formalism for six-dimensional (N, 0) superconformal field theories. Concentrating on the (2, 0) theory we write down the Ward identities for correlation functions


Implications of Conformal Invariance in Field Theories for General Dimensions
Abstract The requirements of conformal invariance for two- and three-point functions for general dimension d on flat space are investigated. A compact group theoretic construction of the three-point
Conserved Currents, Consistency Relations, and Operator Product Expansions in the Conformally InvariantO(N) Vector Model
Abstract We discuss conserved currents and operator product expansions (OPE's) in the context of aO(N) invariant conformal field theory. Using OPE's we find explicit expressions for the first few
Implications of N=1 superconformal symmetry for chiral fields
Scattering in anti-de Sitter space and operator product expansion
We develop a formalism to evaluate generic scalar exchange diagrams in AdS_{d+1} relevant for the calculation of four-point functions in AdS/CFT correspondence. The result may be written as an