On Four-Point Functions of Half-BPS Operators in General Dimensions | Zendy

F.A. Dolan | Zendy; L. Gallot | Zendy; E. Sokatchev | Zendy

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On Four-Point Functions of Half-BPS Operators in General Dimensions

Author(s) -

F.A. Dolan,

L. Gallot,

E. Sokatchev

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/09/056

Subject(s) - conformal map , mathematics , parameterized complexity , dimension (graph theory) , operator (biology) , polynomial , variable (mathematics) , pure mathematics , product (mathematics) , operator product expansion , superspace , harmonic function , set (abstract data type) , mathematical analysis , mathematical physics , combinatorics , supersymmetry , computer science , geometry , biochemistry , chemistry , repressor , programming language , transcription factor , gene

We study four-point correlation functions of half-BPS operators of arbitraryweight for all dimensions d=3,4,5,6 where superconformal theories exist. Usingharmonic superspace techniques, we derive the superconformal Ward identitiesfor these correlators and present them in a universal form. We then solve theseidentities, employing Jack polynomial expansions. We show that the generalsolution is parameterized by a set of arbitrary two-variable functions, withthe exception of the case d=4, where in addition functions of a single variableappear. We also discuss the operator product expansion using recent results onconformal partial wave amplitudes in arbitrary dimension.Comment: The discussion of the case d=6 expanded; references added/correcte

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