Higher-derivative corrections to flavoured BPS black hole thermodynamics and holography
In: JHEP 05 (2024) 276; (2024)
Online
report
A Cardy-like regime of the four-dimensional superconformal index has been shown to be governed by 't Hooft anomalies and to single out a large-$N$ saddle carrying the Bekenstein-Hawking entropy of dual supersymmetric black holes in AdS$_5$. For the universal index where no flavour fugacities are turned on, this correspondence has been improved by matching the first subleading corrections to the saddle-point action with the four-derivative corrections to the black hole action in minimal gauged supergravity, as well as the respective corrected entropies. Here, we extend this match by including flavour symmetries. We consider five-dimensional gauged supergravity with vector multiplet and four-derivative couplings, and provide an effective theory reproducing the 't Hooft anomalies of the R- and flavour symmetries of generic holographic superconformal field theories at next-to-leading order in the large-$N$ expansion. Then we focus on a specific model dual to $\mathbb{C}^3/\mathbb{Z}_\nu$ quiver gauge theories, where the 't Hooft anomaly coefficients receive simple but sufficiently generic corrections. In this model, we evaluate the four-derivative corrections to the on-shell action of the supersymmetric multi-charge black hole, showing agreement with the flavoured Cardy-like formula from the index. We give a prediction for the corrected entropy of the supersymmetric black hole and discuss the general validity of our results. Taking the limit of infinite AdS$_5$ radius, we also obtain four-derivative corrections to the action and entropy of supersymmetric asymptotically flat black holes.
Comment: 64 pages, 1 figure; v2: minor changes, references added, matched published version
Titel: |
Higher-derivative corrections to flavoured BPS black hole thermodynamics and holography
|
---|---|
Autor/in / Beteiligte Person: | Cassani, Davide ; Ruipérez, Alejandro ; Turetta, Enrico |
Link: | |
Quelle: | JHEP 05 (2024) 276; (2024) |
Veröffentlichung: | 2024 |
Medientyp: | report |
DOI: | 10.1007/JHEP05(2024)276 |
Schlagwort: |
|
Sonstiges: |
|