Conformal correlation functions in four dimensions from quaternionic Lauricella system

Correlation functions in four-dimensional Euclidean conformal field theories are expressed in terms of representations of the conformal group SL(2,H), H being the field of quaternions, on the configuration space of points. The representations are obtained in terms of a Lauricella system derived usin...

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Bibliographic Details
Published inNuclear physics. B Vol. 968; p. 115433
Main Authors Pal, Aritra, Ray, Koushik
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2021
Elsevier
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Summary:Correlation functions in four-dimensional Euclidean conformal field theories are expressed in terms of representations of the conformal group SL(2,H), H being the field of quaternions, on the configuration space of points. The representations are obtained in terms of a Lauricella system derived using quaternions. It generalizes the two-dimensional case, wherein the N-point correlation function is expressed in terms of solutions of Lauricella system on the configuration space of N points on the complex plane, furnishing representation of the conformal group SL(2,C).
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2021.115433