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 |
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Format: | Artikel |
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. |
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ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP07(2020)028 |