A cornucopia of AdS5 vacua
A cornucopia of AdS5 vacua
We report on a systematic search for AdS5 vacua corresponding to critical points of the potential in the five-dimensional N = 8 SO(6) gauged supergravity. By employing Google’s TensorFlow Machine Learning library, we find the total of 32 critical points including 5 previously known ones. All 27 new critical points are non-supersymmetric. We compute the mass spectra of scalar fluctuatons for all points and find that the non- supersymmetric AdS5 vacua are perturbatively unstable. Many of the new critical points can be found analytically within consistent truncations of the N = 8 supergravity with respect to discrete subgroups of the S(O(6) × GL(2, ℝ)) symmetry of the potential. In par- ticular, we discuss in detail a-invariant truncation with 10 scalar fields and 15 critical points. We also compute explicitly the scalar potential in a-invariant extension of that truncation to 18 scalar fields and reproduce 17 of the 32 critical points from the numerical search. Finally, we show that the full potential as a function of 42 scalar fields can be studied analytically using the so-called solvable parametrization. In particular, we find that all critical points lie in a ℤ2-invariant subspace spanned by 22 scalar fields.
Bobev, Nikolay
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Fischbacher, Thomas
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Gautason, Fridrik Freyr
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Pilch, Krzysztof
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31 July 2020
Bobev, Nikolay
a6de4447-994a-414a-8910-26cdeb7f54d9
Fischbacher, Thomas
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Gautason, Fridrik Freyr
0c48d448-e092-48bf-a310-45862bd6fc5f
Pilch, Krzysztof
c43727ef-e9c8-48d0-a587-8f5bc940c1e8
Bobev, Nikolay, Fischbacher, Thomas, Gautason, Fridrik Freyr and Pilch, Krzysztof
(2020)
A cornucopia of AdS5 vacua.
Journal of High Energy Physics, 2020, [240].
(doi:10.1007/jhep07(2020)240).
Abstract
We report on a systematic search for AdS5 vacua corresponding to critical points of the potential in the five-dimensional N = 8 SO(6) gauged supergravity. By employing Google’s TensorFlow Machine Learning library, we find the total of 32 critical points including 5 previously known ones. All 27 new critical points are non-supersymmetric. We compute the mass spectra of scalar fluctuatons for all points and find that the non- supersymmetric AdS5 vacua are perturbatively unstable. Many of the new critical points can be found analytically within consistent truncations of the N = 8 supergravity with respect to discrete subgroups of the S(O(6) × GL(2, ℝ)) symmetry of the potential. In par- ticular, we discuss in detail a-invariant truncation with 10 scalar fields and 15 critical points. We also compute explicitly the scalar potential in a-invariant extension of that truncation to 18 scalar fields and reproduce 17 of the 32 critical points from the numerical search. Finally, we show that the full potential as a function of 42 scalar fields can be studied analytically using the so-called solvable parametrization. In particular, we find that all critical points lie in a ℤ2-invariant subspace spanned by 22 scalar fields.
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JHEP07(2020)240
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Accepted/In Press date: 22 June 2020
Published date: 31 July 2020
Identifiers
Local EPrints ID: 497312
URI: http://eprints.soton.ac.uk/id/eprint/497312
ISSN: 1126-6708
PURE UUID: cb26b477-b2bc-423d-a3ee-6fa2a78c7fe2
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Date deposited: 17 Jan 2025 18:09
Last modified: 22 Aug 2025 02:43
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Author:
Nikolay Bobev
Author:
Thomas Fischbacher
Author:
Fridrik Freyr Gautason
Author:
Krzysztof Pilch
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