Conformal partial waves and the operator product expansion

Nuclear Physics B

Volumn 678, Issue 1-2, 2004, Pages 491-507

  Dolan, F A ^a   Osborn, H ^a,b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b TRINITY COLLEGE   (United Kingdom)

Author keywords

Conformal field theory; Four point function; Operator product expansion

Indexed keywords

EID: 0347022495     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2003.11.016     Document Type: Article

References (21)

1. Ferrara S. Grillo A.F. Gatto R. Parisi G. Covariant expansion of the conformal four-point function Nucl. Phys. B 49 1972 77
2. Ferrara S. Grillo A.F. Gatto R. Parisi G. Analyticity properties and asymptotic expansions of conformal covariant green's functions Nuovo Cimento A 19 1974 667
3. Ferrara S. Gatto R. Grillo A.F. Properties of partial-wave amplitudes in conformal invariant theories Nuovo Cimento A 26 1975 226
4. Dobrev V.K. Petkova V.B. Petrova S.G. Todorov I.T. Dynamical derivation of vacuum operator product expansion in conformal field theory Phys. Rev. D 13 1976 887
5. Lang K. Rühl W. The critical O (N) sigma model at dimensions 2
6. Dolan F.A. Osborn H. Conformal four point functions and the operator product expansion Nucl. Phys. B 599 2001 459 hep-th/0011040
7. Dolan F.A. Osborn H. Superconformal symmetry, correlation functions and the operator product expansion Nucl. Phys. B 629 2002 3 hep-th/0112251
8. Arutyunov G. Sokatchev E. implications of superconformal symmetry for interacting (2,0) tensor multiplets Nucl. Phys. B 635 2002 3 hep-th/0201145
9. Dirac P.A.M. Wave equations in conformal space Ann. Math. 37 1936 823 in: Dalitz R.H. (Eds.), The Collected Works of P.A.M. Dirac 1924-1948 1995 Cambridge Univ. Press Cambridge
10. Ferrara S. Gatto R. Grillo A.F. Conformal Algebra in Space-Time and Operator Product Expansion Springer Tracts in Modern Physics Vol. 67 1973 Springer Heidelberg
11. Heslop P.J. Howe P.S. Four-point functions in N=4 SYM JHEP 0301 2003 043 hep-th/0211252
12. Muirhead R.J. Systems of partial differential equations for hypergeometric functions of matrix argument Ann. Math. Statist. 41 1970 991
13. Vilenkin N.Ja. Klimyk A.U. Representation of Lie Groups and Special Functions: Recent Advances 1995 Kluwer Academic Publishers Boston
14. Jack H. A class of symmetric polynomials with a parameter Proc. R. Soc. Edinburgh 69 1970 1
15. Gradshteyn I.S. Ryzhik I.M. in: Jeffrey A. (Ed.), Tables of Integrals, Series, and Products fifth ed. 1994 Academic Press San Diego
16. Koornwinder T. Sprinkhuizen-Kuyper I. Generalized power series expansions for a class of orthogonal polynomials in two variables SIAM J. Math. Anal. 9 1978 457
17. Nirschl, M. Osborn, H. in preparation
18. Vretare L. Formulas for elementary spherical functions and generalized Jacobi polynomials SIAM J. Math. Anal. 15 1984 805
19. Desrosiers P. Lapointe L. Mathieu P. Jack superpolynomials, superpartition ordering and determinantal formulas Commun. Math. Phys. 233 2003 383 hep-th/0105107
20. Desrosiers P. Lapointe L. Mathieu P. Jack polynomials in superspace hep-th/0209074 Commun. Math. Phys., in press
21. Andrews G.E. Askey R. Roy R. Special Functions 1999 Cambridge Univ. Press Cambridge