Properties of the new N $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity
Abstract The recent comprehensive numerical study of critical points of the scalar potential of four-dimensional N $$ \mathcal{N} $$ = 8, SO(8) gauged supergravity using Machine Learning software in [1] has led to a discovery of a new N $$ \mathcal{N} $$ = 1 vacuum with a triality-invariant SO(3) sy...
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)099 |
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| author | Nikolay Bobev Thomas Fischbacher Krzysztof Pilch |
| author_facet | Nikolay Bobev Thomas Fischbacher Krzysztof Pilch |
| author_sort | Nikolay Bobev |
| collection | DOAJ |
| description | Abstract The recent comprehensive numerical study of critical points of the scalar potential of four-dimensional N $$ \mathcal{N} $$ = 8, SO(8) gauged supergravity using Machine Learning software in [1] has led to a discovery of a new N $$ \mathcal{N} $$ = 1 vacuum with a triality-invariant SO(3) symmetry. Guided by the numerical data for that point, we obtain a consistent SO(3) × ℤ2-invariant truncation of the N $$ \mathcal{N} $$ = 8 theory to an N $$ \mathcal{N} $$ = 1 supergravity with three chiral multiplets. Critical points of the truncated scalar potential include both the N $$ \mathcal{N} $$ = 1 point as well as two new non-supersymmetric and perturbatively unstable points not found by previous searches. Studying the structure of the submanifold of SO(3) × ℤ2-invariant supergravity scalars, we find that it has a simple interpretation as a submanifold of the 14-dimensional ℤ 2 3 $$ {\mathbb{Z}}_2^3 $$ -invariant scalar manifold (SU(1, 1)/U(1))7, for which we find a rather remarkable superpotential whose structure matches the single bit error correcting (7, 4) Hamming code. This 14-dimensional scalar manifold contains approximately one quarter of the known critical points. We also show that there exists a smooth supersymmetric domain wall which interpolates between the new N $$ \mathcal{N} $$ = 1 AdS4 solution and the maximally supersymmetric AdS4 vacuum. Using holography, this result indicates the existence of an N $$ \mathcal{N} $$ = 1 RG flow from the ABJM SCFT to a new strongly interacting conformal fixed point in the IR. |
| format | Article |
| id | doaj-art-a2a07ed951484812a30a624fd4d59bc7 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a2a07ed951484812a30a624fd4d59bc72025-02-09T12:06:25ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113710.1007/JHEP01(2020)099Properties of the new N $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravityNikolay Bobev0Thomas Fischbacher1Krzysztof Pilch2Instituut voor Theoretische Fysica, KU LeuvenGoogle ResearchDepartment of Physics and Astronomy, University of Southern CaliforniaAbstract The recent comprehensive numerical study of critical points of the scalar potential of four-dimensional N $$ \mathcal{N} $$ = 8, SO(8) gauged supergravity using Machine Learning software in [1] has led to a discovery of a new N $$ \mathcal{N} $$ = 1 vacuum with a triality-invariant SO(3) symmetry. Guided by the numerical data for that point, we obtain a consistent SO(3) × ℤ2-invariant truncation of the N $$ \mathcal{N} $$ = 8 theory to an N $$ \mathcal{N} $$ = 1 supergravity with three chiral multiplets. Critical points of the truncated scalar potential include both the N $$ \mathcal{N} $$ = 1 point as well as two new non-supersymmetric and perturbatively unstable points not found by previous searches. Studying the structure of the submanifold of SO(3) × ℤ2-invariant supergravity scalars, we find that it has a simple interpretation as a submanifold of the 14-dimensional ℤ 2 3 $$ {\mathbb{Z}}_2^3 $$ -invariant scalar manifold (SU(1, 1)/U(1))7, for which we find a rather remarkable superpotential whose structure matches the single bit error correcting (7, 4) Hamming code. This 14-dimensional scalar manifold contains approximately one quarter of the known critical points. We also show that there exists a smooth supersymmetric domain wall which interpolates between the new N $$ \mathcal{N} $$ = 1 AdS4 solution and the maximally supersymmetric AdS4 vacuum. Using holography, this result indicates the existence of an N $$ \mathcal{N} $$ = 1 RG flow from the ABJM SCFT to a new strongly interacting conformal fixed point in the IR.https://doi.org/10.1007/JHEP01(2020)099AdS-CFT CorrespondenceSupergravity Models |
| spellingShingle | Nikolay Bobev Thomas Fischbacher Krzysztof Pilch Properties of the new N $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity Journal of High Energy Physics AdS-CFT Correspondence Supergravity Models |
| title | Properties of the new N $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity |
| title_full | Properties of the new N $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity |
| title_fullStr | Properties of the new N $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity |
| title_full_unstemmed | Properties of the new N $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity |
| title_short | Properties of the new N $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity |
| title_sort | properties of the new n mathcal n 1 ads4 vacuum of maximal supergravity |
| topic | AdS-CFT Correspondence Supergravity Models |
| url | https://doi.org/10.1007/JHEP01(2020)099 |
| work_keys_str_mv | AT nikolaybobev propertiesofthenewnmathcaln1ads4vacuumofmaximalsupergravity AT thomasfischbacher propertiesofthenewnmathcaln1ads4vacuumofmaximalsupergravity AT krzysztofpilch propertiesofthenewnmathcaln1ads4vacuumofmaximalsupergravity |