6533b824fe1ef96bd128162d

RESEARCH PRODUCT

AdS$_3$ solutions with exceptional supersymmetry

Alessandro TomasielloGabriele Lo MonacoGiuseppe DibitettoAchilleas PassiasNicolò Petri

subject

PhysicsHigh Energy Physics - TheoryPure mathematicsSettore FIS/02 - Fisica Teorica Modelli E Metodi Matematici010308 nuclear & particles physicsInternal spaceSupergravityGeneral Physics and AstronomyFibered knotFOS: Physical sciencesSupersymmetrySymmetry groupType (model theory)SuperalgebraSupergravity01 natural sciencesHigh Energy Physics - Theory (hep-th)0103 physical sciencesInterval (graph theory)AdS/CFTSymmetry (geometry)010306 general physicsSuperalgebras AdS/CFT Supergravity

description

Among the possible superalgebras that contain the AdS$_3$ isometries, two interesting possibilities are the exceptional $F(4)$ and $G(3)$. Their R-symmetry is respectively SO(7) and $G_2$, and the amount of supersymmetry ${\cal N}=8$ and ${\cal N}=7$. We find that there exist two (locally) unique solutions in type IIA supergravity that realize these superalgebras, and we provide their analytic expressions. In both cases, the internal space is obtained by a round six-sphere fibred over an interval, with an O8-plane at one end. The R-symmetry is the symmetry group of the sphere; in the $G(3)$ case, it is broken to $G_2$ by fluxes. We also find several numerical ${\cal N}=1$ solutions with $G_2$ flavor symmetry, with various localized sources, including O2-planes and O8-planes.

yearjournalcountryeditionlanguage
2018-09-11
10.1002/prop.201800060http://arxiv.org/abs/1807.06602