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์ถœ์ฒ˜
Springer Science and Business Media LLC Journal of High Energy Physics 2025(11)
์˜ค๋ฅ˜ ์‹ ๊ณ ํ•˜๊ธฐ
ํ‘œ์ง€

๊ฒ€์ƒ‰

    ์ดˆ๋กยทํ‚ค์›Œ๋“œ

    A bstract We present a detailed study of the regularized on-shell action of the recently found asymptotically AdS 7 black hole supergravity solution with three angular momenta and two electric charges. We show that a particular choice of finite counterterms in the holographic renormalization procedure yields a result for the on-shell action of the supersymmetric limit of the black hole solution which is in perfect agreement with the large N limit of the superconformal index of the dual 6d ๐’ฉ = (2, 0) A N SCFT on S 1 ร— S 5 . We also discuss a generalization of this 7d supergravity background to a new general family of black holes with horizons given by the L p , q , r 5d Sasaki-Einstein manifolds. The regularized on-shell action of these new 7d black holes is also in agreement with supersymmetric localization results for the 6d ๐’ฉ = (2, 0) SCFT on S 1 ร— L p , q , r . Finally, we briefly discuss a generalization of known AdS 5 gauged supergravity backgrounds to new 5d black holes with L ( p , q ) lens space horizon topologies.

    ์ตœ๊ทผ ๋ณธ ์ž๋ฃŒ ์ „์ฒด๋ณด๊ธฐ