Domain wall seeds in CSO-gauged supergravity
Abstract Gravitational domain wall solutions in gauged supergravity are often constructed within truncations that do not include vectors. As a consequence the gauge group is only a global symmetry of this truncation. The consistency of the truncation requires the restriction to solutions with vanish...
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doaj-a57783a75230450fa3e721e0845a57492020-11-25T01:49:57ZengSpringerOpenJournal of High Energy Physics1029-84792017-06-012017611710.1007/JHEP06(2017)097Domain wall seeds in CSO-gauged supergravityJuan Diaz Dorronsoro0Harold Erbin1Thomas Van Riet2Instituut voor Theoretische Fysica, K.U. LeuvenCNRS, LPTENSInstituut voor Theoretische Fysica, K.U. LeuvenAbstract Gravitational domain wall solutions in gauged supergravity are often constructed within truncations that do not include vectors. As a consequence the gauge group is only a global symmetry of this truncation. The consistency of the truncation requires the restriction to solutions with vanishing Noether charge under this global symmetry, since otherwise vector fields are sourced. We show that this has interesting consequences for the orbit structure of the solutions under the global symmetries. We investigate this for CSO(p, q, r)-gaugings in various dimensions with scalar fields truncated to the S L n ℝ / SO n $$ \mathrm{S}\mathrm{L}\left(n,\mathbb{R}\right)/\mathrm{SO}(n) $$ subcoset. We prove that the seed solution — which generates all other solutions using only global transformations — has a diagonal coset matrix. This means that there exists a transformation at the boundary of the geometry that diagonalises the coset matrix and that this same transformation also diagonalises the whole flow as a consequence of the vanishing charge.http://link.springer.com/article/10.1007/JHEP06(2017)097Global SymmetriesSupergravity ModelsAdS-CFT Correspondence |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Juan Diaz Dorronsoro Harold Erbin Thomas Van Riet |
spellingShingle |
Juan Diaz Dorronsoro Harold Erbin Thomas Van Riet Domain wall seeds in CSO-gauged supergravity Journal of High Energy Physics Global Symmetries Supergravity Models AdS-CFT Correspondence |
author_facet |
Juan Diaz Dorronsoro Harold Erbin Thomas Van Riet |
author_sort |
Juan Diaz Dorronsoro |
title |
Domain wall seeds in CSO-gauged supergravity |
title_short |
Domain wall seeds in CSO-gauged supergravity |
title_full |
Domain wall seeds in CSO-gauged supergravity |
title_fullStr |
Domain wall seeds in CSO-gauged supergravity |
title_full_unstemmed |
Domain wall seeds in CSO-gauged supergravity |
title_sort |
domain wall seeds in cso-gauged supergravity |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2017-06-01 |
description |
Abstract Gravitational domain wall solutions in gauged supergravity are often constructed within truncations that do not include vectors. As a consequence the gauge group is only a global symmetry of this truncation. The consistency of the truncation requires the restriction to solutions with vanishing Noether charge under this global symmetry, since otherwise vector fields are sourced. We show that this has interesting consequences for the orbit structure of the solutions under the global symmetries. We investigate this for CSO(p, q, r)-gaugings in various dimensions with scalar fields truncated to the S L n ℝ / SO n $$ \mathrm{S}\mathrm{L}\left(n,\mathbb{R}\right)/\mathrm{SO}(n) $$ subcoset. We prove that the seed solution — which generates all other solutions using only global transformations — has a diagonal coset matrix. This means that there exists a transformation at the boundary of the geometry that diagonalises the coset matrix and that this same transformation also diagonalises the whole flow as a consequence of the vanishing charge. |
topic |
Global Symmetries Supergravity Models AdS-CFT Correspondence |
url |
http://link.springer.com/article/10.1007/JHEP06(2017)097 |
work_keys_str_mv |
AT juandiazdorronsoro domainwallseedsincsogaugedsupergravity AT harolderbin domainwallseedsincsogaugedsupergravity AT thomasvanriet domainwallseedsincsogaugedsupergravity |
_version_ |
1725003696162471936 |