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Precision test of AdS$_6$/CFT$_5$ in Type IIB
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abstract
Large classes of warped AdS$_6$ solutions were constructed recently in Type IIB supergravity, and identified as holographic duals for five-dimensional superconformal field theories realized by $(p,q)$ five-brane webs. We confront holographic results for the five sphere partition functions obtained from these solutions with computations for the putative dual field theories. We obtain the sphere partition functions and conformal central charges in gauge theory deformations of the superconformal field theories numerically using supersymmetric localization, and extrapolate the results to the conformal fixed points. In the appropriate large $N$ limits, the results match precisely to the supergravity computations, providing strong support for the proposed dualities.
Forward citations
Cited by 3 Pith papers
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Exact results for 5d SCFTs of long quiver type
Analytic saddle-point solutions of the squashed S5 localization matrix model yield exact large-N free energies for long-quiver 5d SCFTs, matching holographic predictions.
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Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
Kounterterm renormalization is extended to even-dimensional holographic CFTs, yielding a universal entanglement entropy formula whose logarithmic coefficient reproduces the type A central charge.
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Uplifting supersymmetric $AdS_6$ black holes to type II supergravity
The author uplifts supersymmetric AdS6 black holes from F(4) gauged supergravity into massive type IIA and type IIB supergravity, and verifies an entropy match in the IIA case.
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