The geometry of N=3 $$ \mathcal{N}=3 $$ AdS4 in massive IIA

Abstract The geometry of the N=3 $$ \mathcal{N}=3 $$, SO(4)-invariant, AdS4 solution of massive type IIA supergravity that uplifts from the N=3 $$ \mathcal{N}=3 $$ vacuum of D = 4 N=8 $$ \mathcal{N}=8 $$ dyonic ISO(7) supergravity is investigated. Firstly, a D = 4, SO(4)-invariant restricted duality...

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Main Authors: G. Bruno De Luca, Gabriele Lo Monaco, Niall T. Macpherson, Alessandro Tomasiello, Oscar Varela
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2018)133
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author G. Bruno De Luca
Gabriele Lo Monaco
Niall T. Macpherson
Alessandro Tomasiello
Oscar Varela
author_facet G. Bruno De Luca
Gabriele Lo Monaco
Niall T. Macpherson
Alessandro Tomasiello
Oscar Varela
author_sort G. Bruno De Luca
collection DOAJ
description Abstract The geometry of the N=3 $$ \mathcal{N}=3 $$, SO(4)-invariant, AdS4 solution of massive type IIA supergravity that uplifts from the N=3 $$ \mathcal{N}=3 $$ vacuum of D = 4 N=8 $$ \mathcal{N}=8 $$ dyonic ISO(7) supergravity is investigated. Firstly, a D = 4, SO(4)-invariant restricted duality hierarchy is constructed and used to uplift the entire, dynamical SO(4)-invariant sector to massive type IIA. The resulting consistent uplift formulae are used to obtain a new local expression for the N=3 $$ \mathcal{N}=3 $$ AdS4 solution in massive IIA and analyse its geometry. Locally, the internal S 6 geometry corresponds to a warped fibration of S 2 and a hemisphere of S 4. This can be regarded as a warped generalisation of the usual twistor fibration geometry. Finally, the triplet of Killing spinors corresponding to the N=3 $$ \mathcal{N}=3 $$ solution are constructed and shown to obey the massive type IIA Killing spinor equations.
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spelling doaj.art-47d2ad86e291488191695f2039daabce2022-12-22T00:03:24ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018814410.1007/JHEP08(2018)133The geometry of N=3 $$ \mathcal{N}=3 $$ AdS4 in massive IIAG. Bruno De Luca0Gabriele Lo Monaco1Niall T. Macpherson2Alessandro Tomasiello3Oscar Varela4Dipartimento di Fisica, Università di Milano-Bicocca and INFN, sezione di Milano-BicoccaDipartimento di Fisica, Università di Milano-Bicocca and INFN, sezione di Milano-BicoccaSISSA International School for Advanced Studies and INFN, sezione di TriesteDipartimento di Fisica, Università di Milano-Bicocca and INFN, sezione di Milano-BicoccaDepartment of Physics, Utah State UniversityAbstract The geometry of the N=3 $$ \mathcal{N}=3 $$, SO(4)-invariant, AdS4 solution of massive type IIA supergravity that uplifts from the N=3 $$ \mathcal{N}=3 $$ vacuum of D = 4 N=8 $$ \mathcal{N}=8 $$ dyonic ISO(7) supergravity is investigated. Firstly, a D = 4, SO(4)-invariant restricted duality hierarchy is constructed and used to uplift the entire, dynamical SO(4)-invariant sector to massive type IIA. The resulting consistent uplift formulae are used to obtain a new local expression for the N=3 $$ \mathcal{N}=3 $$ AdS4 solution in massive IIA and analyse its geometry. Locally, the internal S 6 geometry corresponds to a warped fibration of S 2 and a hemisphere of S 4. This can be regarded as a warped generalisation of the usual twistor fibration geometry. Finally, the triplet of Killing spinors corresponding to the N=3 $$ \mathcal{N}=3 $$ solution are constructed and shown to obey the massive type IIA Killing spinor equations.http://link.springer.com/article/10.1007/JHEP08(2018)133AdS-CFT CorrespondenceFlux compactificationsSupergravity ModelsSuperstring Vacua
spellingShingle G. Bruno De Luca
Gabriele Lo Monaco
Niall T. Macpherson
Alessandro Tomasiello
Oscar Varela
The geometry of N=3 $$ \mathcal{N}=3 $$ AdS4 in massive IIA
Journal of High Energy Physics
AdS-CFT Correspondence
Flux compactifications
Supergravity Models
Superstring Vacua
title The geometry of N=3 $$ \mathcal{N}=3 $$ AdS4 in massive IIA
title_full The geometry of N=3 $$ \mathcal{N}=3 $$ AdS4 in massive IIA
title_fullStr The geometry of N=3 $$ \mathcal{N}=3 $$ AdS4 in massive IIA
title_full_unstemmed The geometry of N=3 $$ \mathcal{N}=3 $$ AdS4 in massive IIA
title_short The geometry of N=3 $$ \mathcal{N}=3 $$ AdS4 in massive IIA
title_sort geometry of n 3 mathcal n 3 ads4 in massive iia
topic AdS-CFT Correspondence
Flux compactifications
Supergravity Models
Superstring Vacua
url http://link.springer.com/article/10.1007/JHEP08(2018)133
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