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A cornucopia of AdS5 vacua

A cornucopia of AdS5 vacua

Title: A cornucopia of AdS5 vacua
Author: Bobev, Nikolay
Fischbacher, Thomas
Gautason, Fridrik F   orcid.org/0000-0001-5811-0219
Pilch, Krzysztof
Date: 2020-07-01
Language: English
Scope: 240
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Raunvísindastofnun (HÍ)
Science Institute (UI)
Series: Journal of High Energy Physics;2020(7)
ISSN: 1029-8479
DOI: 10.1007/JHEP07(2020)240
Subject: AdS-CFT Correspondence; Gauge-gravity correspondence; Supergravity Models; Superstring Vacua
URI: https://hdl.handle.net/20.500.11815/2299

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Bobev, N., Fischbacher, T., Gautason, F.F. et al. A cornucopia of AdS5 vacua. Journal of High Energy Physics 2020, 240 (2020). https://doi.org/10.1007/JHEP07(2020)240


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 ℤ23-invariant truncation with 10 scalar fields and 15 critical points. We also compute explicitly the scalar potential in a ℤ22-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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