Positive Energy and Non-SUSY Flows in ISO(7) Gauged Supergravity
We consider maximal gauged supergravity in 4D with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ISO</mi><mo>(</mo><mn>7</mn><mo>)</mo></mrow>...
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MDPI AG
2022-05-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/5/293 |
| _version_ | 1797494899100090368 |
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| author | Giuseppe Dibitetto |
| author_facet | Giuseppe Dibitetto |
| author_sort | Giuseppe Dibitetto |
| collection | DOAJ |
| description | We consider maximal gauged supergravity in 4D with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ISO</mi><mo>(</mo><mn>7</mn><mo>)</mo></mrow></semantics></math></inline-formula> gauge group, which arises from a consistent truncation of massive IIA supergravity on a six-sphere. Within its G<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula>-invariant sector, the theory is known to possess a supersymmetric AdS extremum, as well as two non-supersymmetric ones. In this context, we provide a first-order formulation of the theory by making use of the Hamilton–Jacobi (HJ) formalism. This allows us to derive a positive energy theorem for both non-supersymmetric extrema. Subsequently, we also find novel non-supersymmetric domain walls (DWs) interpolating between the supersymmetric extremum and each of the other two. Finally, we discuss a perturbative HJ technique that may be used in order to solve for curved DW geometries. |
| first_indexed | 2024-03-10T01:40:51Z |
| format | Article |
| id | doaj.art-e9442e4f93a0448fbeb8a27a883401df |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T01:40:51Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-e9442e4f93a0448fbeb8a27a883401df2023-11-23T13:24:37ZengMDPI AGUniverse2218-19972022-05-018529310.3390/universe8050293Positive Energy and Non-SUSY Flows in ISO(7) Gauged SupergravityGiuseppe Dibitetto0Dipartimento di Fisica e Astronomia, Università di Padova, Via Marzolo 8, 35131 Padova, ItalyWe consider maximal gauged supergravity in 4D with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ISO</mi><mo>(</mo><mn>7</mn><mo>)</mo></mrow></semantics></math></inline-formula> gauge group, which arises from a consistent truncation of massive IIA supergravity on a six-sphere. Within its G<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula>-invariant sector, the theory is known to possess a supersymmetric AdS extremum, as well as two non-supersymmetric ones. In this context, we provide a first-order formulation of the theory by making use of the Hamilton–Jacobi (HJ) formalism. This allows us to derive a positive energy theorem for both non-supersymmetric extrema. Subsequently, we also find novel non-supersymmetric domain walls (DWs) interpolating between the supersymmetric extremum and each of the other two. Finally, we discuss a perturbative HJ technique that may be used in order to solve for curved DW geometries.https://www.mdpi.com/2218-1997/8/5/293quantum gravityanti-de Sitter spacestring compactifications |
| spellingShingle | Giuseppe Dibitetto Positive Energy and Non-SUSY Flows in ISO(7) Gauged Supergravity Universe quantum gravity anti-de Sitter space string compactifications |
| title | Positive Energy and Non-SUSY Flows in ISO(7) Gauged Supergravity |
| title_full | Positive Energy and Non-SUSY Flows in ISO(7) Gauged Supergravity |
| title_fullStr | Positive Energy and Non-SUSY Flows in ISO(7) Gauged Supergravity |
| title_full_unstemmed | Positive Energy and Non-SUSY Flows in ISO(7) Gauged Supergravity |
| title_short | Positive Energy and Non-SUSY Flows in ISO(7) Gauged Supergravity |
| title_sort | positive energy and non susy flows in iso 7 gauged supergravity |
| topic | quantum gravity anti-de Sitter space string compactifications |
| url | https://www.mdpi.com/2218-1997/8/5/293 |
| work_keys_str_mv | AT giuseppedibitetto positiveenergyandnonsusyflowsiniso7gaugedsupergravity |