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The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS$_4$ Holography

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arxiv 2006.09390 v1 pith:PL745IF6 submitted 2020-06-16 hep-th

Nikolay Bobev , Anthony M. Charles , Kiril Hristov , Valentin Reys This is my paper · ORCID
classification hep-th
keywords correctionshigher-derivativederiveholographylargesupergravitytheoryaction
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abstract

We study four-derivative corrections to four-dimensional $\mathcal{N}=2$ minimal gauged supergravity and show that they are controlled by two real constants. The solutions of the equations of motion in the two-derivative theory are not modified by the higher-derivative corrections. We use this to derive a general formula for the regularized on-shell action for any asymptotically locally AdS$_4$ solution of the theory and show how the higher-derivative corrections affect black hole thermodynamic quantities in a universal way. We employ our results in the context of holography to derive explicit expressions for the subleading corrections in the large $N$ expansion of supersymmetric partition functions on various compact manifolds for a large class of three-dimensional SCFTs.

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Cited by 5 Pith papers

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  3. Holographic Tests of the $\mu$ Ensemble

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  4. An Airy Tale at Large $N$

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    The paper presents numerical and analytic evidence that the large-N sphere partition function of five classes of M2-brane SCFTs, with squashing and real masses, takes the form of an Airy function to all orders in 1/N.

  5. Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography

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