#### The geometry of \( \mathcal{N}=3 \) AdS4 in massive IIA

Journal of High Energy Physics
August 2018, 2018:133 | Cite as
The geometry of \( \mathcal{N}=3 \) AdS4 in massive IIA
AuthorsAuthors and affiliations
G. Bruno De LucaGabriele Lo MonacoNiall T. MacphersonAlessandro TomasielloOscar Varela
Open Access
Regular Article - Theoretical Physics
First Online: 22 August 2018
Received: 24 May 2018
Revised: 02 July 2018
Accepted: 20 July 2018
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Abstract
The geometry of the \( \mathcal{N}=3 \), SO(4)-invariant, AdS4 solution of massive type IIA supergravity that uplifts from the \( \mathcal{N}=3 \) vacuum of D = 4 \( \mathcal{N}=8 \) 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 \( \mathcal{N}=3 \) AdS4 solution in massive IIA and analyse its geometry. Locally, the internal S6 geometry corresponds to a warped fibration of S2 and a hemisphere of S4. This can be regarded as a warped generalisation of the usual twistor fibration geometry. Finally, the triplet of Killing spinors corresponding to the \( \mathcal{N}=3 \) solution are constructed and shown to obey the massive type IIA Killing spinor equations.
Keywords AdS-CFT Correspondence Flux compactifications Supergravity Models Superstring Vacua
ArXiv ePrint: 1805.04823
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© The Author(s) 2018
Authors and Affiliations
G. Bruno De Luca1Gabriele Lo Monaco1Niall T. Macpherson2Alessandro Tomasiello1Oscar Varela345Email author1.Dipartimento di Fisica, Università di Milano-Bicocca and INFN, sezione di Milano-BicoccaMilanItaly2.SISSA International School for Advanced Studies and INFN, sezione di TriesteTriesteItaly3.Department of PhysicsUtah State UniversityLoganU.S.A.4.Departmento de Física Teórica and Instituto de Física Teórica UAM/CSICUniversidad Autónoma de MadridMadridSpain5.Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)PotsdamGermany