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High Energy Physics - Theory

arXiv:hep-th/0403292 (hep-th)
[Submitted on 31 Mar 2004 (v1), last revised 2 Nov 2004 (this version, v2)]

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

Authors:Konstantinos Zoubos
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Abstract: We apply our previous work on Green's functions for the four-dimensional quaternionic Taub-NUT manifold to obtain a scalar two-point function on the homogeneously squashed three-sphere (otherwise known as the Berger sphere), which lies at its conformal infinity. Using basic notions from conformal geometry and the theory of boundary value problems, in particular the Dirichlet-to-Robin operator, we establish that our two-point correlation function is conformally invariant and corresponds to a boundary operator of conformal dimension one. It is plausible that the methods we use could have more general applications in an AdS/CFT context.
Comments: 1+49 pages, no figures. v2: Several typos corrected
Subjects: High Energy Physics - Theory (hep-th)
Report number: YITP-SB-04-13
Cite as: arXiv:hep-th/0403292
  (or arXiv:hep-th/0403292v2 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0403292
Journal reference: JHEP0501:031,2005
Related DOI: https://doi.org/10.1088/1126-6708/2005/01/031

Submission history

From: Konstantinos Zoubos [view email]
[v1] Wed, 31 Mar 2004 20:41:24 UTC (64 KB)
[v2] Tue, 2 Nov 2004 02:54:42 UTC (64 KB)
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