Euclidean black saddles and AdS4 black holes

Nikolay Bobev (Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, Leuven, B-3001, Belgium) ; Anthony Charles (Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, Leuven, B-3001, Belgium) ; Vincent Min (Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, Leuven, B-3001, Belgium)

We find new asymptotically locally AdS4 Euclidean supersymmetric solutions of the STU model in four-dimensional gauged supergravity. These “black saddles” have an S 1 × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ boundary at asymptotic infinity and cap off smoothly in the interior. The solutions can be uplifted to eleven dimensions and are holographically dual to the topologically twisted ABJM theory on S 1 × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ . We show explicitly that the on-shell action of the black saddle solutions agrees exactly with the topologically twisted index of the ABJM theory in the planar limit for general values of the magnetic fluxes, flavor fugacities, and real masses. This agreement relies on a careful holographic renormalization analysis combined with a novel UV/IR holographic relation between supergravity parameters and field theory sources. The Euclidean black saddle solution space contains special points that can be Wick-rotated to regular Lorentzian supergravity backgrounds that correspond to the well-known supersymmetric dyonic AdS4 black holes in the STU model.

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      "surname": "Min", 
      "email": "vincent.min@kuleuven.be", 
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      "source": "Springer", 
      "value": "We find new asymptotically locally AdS4 Euclidean supersymmetric solutions of the STU model in four-dimensional gauged supergravity. These \u201cblack saddles\u201d have an S 1 \u00d7   <math> <msub> <mi>\u03a3</mi> <mi>g</mi> </msub> </math>  $$ {\\Sigma}_{\\mathfrak{g}} $$  boundary at asymptotic infinity and cap off smoothly in the interior. The solutions can be uplifted to eleven dimensions and are holographically dual to the topologically twisted ABJM theory on S 1 \u00d7   <math> <msub> <mi>\u03a3</mi> <mi>g</mi> </msub> </math>  $$ {\\Sigma}_{\\mathfrak{g}} $$ . We show explicitly that the on-shell action of the black saddle solutions agrees exactly with the topologically twisted index of the ABJM theory in the planar limit for general values of the magnetic fluxes, flavor fugacities, and real masses. This agreement relies on a careful holographic renormalization analysis combined with a novel UV/IR holographic relation between supergravity parameters and field theory sources. The Euclidean black saddle solution space contains special points that can be Wick-rotated to regular Lorentzian supergravity backgrounds that correspond to the well-known supersymmetric dyonic AdS4 black holes in the STU model."
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Published on:
12 October 2020
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2020 (2020)
Issue 10
Pages 1-78
DOI:
https://doi.org/10.1007/JHEP10(2020)073
arXiv:
2006.01148
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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