A Conformally Invariant Holographic Two-Point Function on the Berger Sphere | Zendy

Konstantinos Zoubos | Zendy

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A Conformally Invariant Holographic Two-Point Function on the Berger Sphere

Author(s) -

Konstantinos Zoubos

Publication year - 2005

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 - 10.1088/1126-6708/2005/01/031

Subject(s) - conformal map , mathematics , invariant (physics) , boundary conformal field theory , mathematical analysis , conformal geometry , conformal symmetry , mathematical physics , boundary value problem , pure mathematics , robin boundary condition , mixed boundary condition

We apply our previous work on Green's functions for the four-dimensionalquaternionic Taub-NUT manifold to obtain a scalar two-point function on thehomogeneously squashed three-sphere (otherwise known as the Berger sphere),which lies at its conformal infinity. Using basic notions from conformalgeometry and the theory of boundary value problems, in particular theDirichlet-to-Robin operator, we establish that our two-point correlationfunction is conformally invariant and corresponds to a boundary operator ofconformal dimension one. It is plausible that the methods we use could havemore general applications in an AdS/CFT context.Comment: 1+49 pages, no figures. v2: Several typos correcte

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