Superconformal block from holographic geometry

A bstract We explicitly construct the holographic dual configuration for the four dimensional N = 4 superconformal block containing half-BPS scalar primary operators by considering its full AdS 5 × S 5 dual geometry. We extend the embedding space formalism and the related Harmonic analysis to genera...

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Veröffentlicht in:The journal of high energy physics 2020-07, Vol.2020 (7), p.1-41, Article 28
Hauptverfasser: Chen, Heng-Yu, Sakamoto, Jun-ichi
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Sprache:eng
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Zusammenfassung:A bstract We explicitly construct the holographic dual configuration for the four dimensional N = 4 superconformal block containing half-BPS scalar primary operators by considering its full AdS 5 × S 5 dual geometry. We extend the embedding space formalism and the related Harmonic analysis to general d -dimensional sphere S d , and obtain precisely the R -symmetry contribution to the half-BPS scalar superconformal blocks, which we refer as “ R -symmetry block”. We also observe that the R -symmetry quadratic Casimir operator can be mapped to BC 2 Calogero-Sutherland system Hamiltonian, such that R -symmetry block is in terms identified as its bound state wave function.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2020)028