A Brief Review on the Conformal Scalar Equation
DOI:
https://doi.org/10.14738/aivp.121.16514Abstract
In this short note we develop a method to fully integrate the conformal scalar equation in dimensions (N −1, 1) where N is the total number of dimensions. The Conformal Group in this flat space is SO(N, 2) and the Conformal Scalar equation is readily given by [1]:
References
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Edward Witten. “Some Exact Multipseudoparticle Solutions of Classical Yang-Mills Theory”, Physical Review Letters 38, 121-125 (1977)
José M. Cerveró. “On electric and magnetic configurations in the Yang-Mills Field Equations”, Letters in Mathematical Physics 8, 233-237, (1984)
P. Painlevé, “Sur les equations differentielles du second ordre et d’ordre superieur dont l’integrale generale est uniforme”, Acta Mathematica 25, 1–85, (1902)
Bruce M. Schechter, “Yang-Mills theory in the hypertorus” Physical Review 16D, 3015-3020, (1977) and M. Lüscher, “SO (4) Symmetric solutions of the Yang-Mills Field Equations”, Physics Letters, 70B, 321-324, (1977)
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