Conformal partial waves and the operator product expansion

@article{Dolan2004ConformalPW,
  title={Conformal partial waves and the operator product expansion},
  author={F. A. H. Dolan and Hugh Osborn},
  journal={Nuclear Physics},
  year={2004},
  volume={678},
  pages={491-507}
}
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References

SHOWING 1-10 OF 24 REFERENCES
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
Jack Polynomials in Superspace
AbstractThis work initiates the study of orthogonal symmetric polynomials in superspace. Here we present two approaches leading to a family of orthogonal polynomials in superspace that generalize the
Conformal Algebra in Space-Time and Operator Product Expansion
The topics discussed are the conformal group in space-time, broken conformal symmetry, restrictions from conformal covariance on equal-time commutators, manifestly conformal covariant structure of
Generalized Power Series Expansions for a Class of Orthogonal Polynomials in Two Variables
This paper continues the analysis of a class of orthogonal polynomials in two variables on a region bounded by two straight lines and a parabola touching these lines, which was introduced by the
Dynamical derivation of vacuum operator-product expansion in Euclidean conformal quantum field theory
An expansion of the type $sub 0$ = $sub 0$ $sub 0$ + $Sigma$/sub chi/l C$sup 2$(chi/subl/) $Integral$ (dp) Q/sup chi/l (x$sub 1$,x$sub 2$;-p) w/sub chi/l(p) Q/sup chi//subl/(p;x$sub 3$,... x/subn/)
Jack Superpolynomials, Superpartition Ordering and Determinantal Formulas
Abstract: We call superpartitions the indices of the eigenfunctions of the supersymmetric extension of the trigonometric Calogero-Moser-Sutherland model. We obtain an ordering on superpartitions from
...
...