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arXiv · 2302.14850

Conformal Quantum Mechanics, Holomorphic Factorisation, and Ultra-Spinning Black Holes

Nick Dorey·Rishi Mouland
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Abstract

We study a limit in which a relativistic CFT reduces to conformal quantum mechanics, and relate the partition functions of the two theories. When the initial CFT is holographic, our limit coincides with an ultra-spinning limit in the gravity dual. We therefore propose that ultra-spinning black holes are dual to an appropriate ensemble in finite-dimensional conformal quantum mechanics. The limit is studied in detail for SCFTs in four and six dimensions. These theories have a superconformal index which can be computed by gluing together two or more blocks. Applying our limit to the index effectively isolates a single such block. Our results therefore suggest that ultra-spinning black holes play the role of blocks in the gravitational dual of holomorphic factorisation.

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Nick Dorey, Rishi Mouland. 2023-02-28. Conformal Quantum Mechanics, Holomorphic Factorisation, and Ultra-Spinning Black Holes. https://doi.org/10.1007/jhep02(2024)086

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