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Related papers: Weak $G_2$-manifolds and scale separation in M-the…

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Motivated by recent proposals relating non-supersymmetric Type 0A theory to M-theory compactified on a singular wedge geometry, we study an M-theory compactification on a seven-manifold with G_2 structure, realized as a deformed K3…

High Energy Physics - Theory · Physics 2026-05-22 Keshav Dasgupta , Radu Tatar

In this thesis we explore the vacua structure of type IIA orientifold (CY) compactifications with fluxes, from the 4d and the 10d point of view. We start by reviewing type IIA Calabi-Yau orientifold compactifications with fluxes. We…

High Energy Physics - Theory · Physics 2022-10-18 Joan Quirant

We consider spaces M_7 and M_8 of G_2 holonomy and Spin(7) holonomy in seven and eight dimensions, with a U(1) isometry. For metrics where the length of the associated circle is everywhere finite and non-zero, one can perform a Kaluza-Klein…

High Energy Physics - Theory · Physics 2011-09-14 M. Cvetic , G. W. Gibbons , H. Lu , C. N. Pope

We present a new Type IIB supergravity background of the warped form AdS$_4\times \mathcal{M}_6$ with dilaton, $B$-field and all Ramond-Ramond fluxes turned on. We obtain the solution by applying non-Abelian T-duality to a certain…

High Energy Physics - Theory · Physics 2017-08-30 Leopoldo A. Pando Zayas , Dimitrios Tsimpis , Catherine A. Whiting

We show that a class of type IIA vacua recently found within the N=4 effective approach corresponds to compactification on Ads_4 \times S^3 \times S^3/Z_2^3. The results obtained using the effective method completely match the general…

High Energy Physics - Theory · Physics 2008-11-26 Gerardo Aldazabal , Anamaria Font

We study the vacuum statistics of ensembles of M theory compactifications on G_2 holonomy manifolds with fluxes, and of ensembles of Freund-Rubin vacua. We discuss similarities and differences between these and Type IIB flux landscapes. For…

High Energy Physics - Theory · Physics 2009-11-11 Bobby S. Acharya , Frederik Denef , Roberto Valandro

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…

High Energy Physics - Theory · Physics 2019-09-25 Giuseppe Dibitetto , Gabriele Lo Monaco , Achilleas Passias , Nicolò Petri , Alessandro Tomasiello

We study consistent truncations of M-theory to gauged N=2 supergravity in four dimensions, based on a large class of SU(3)-structures in seven dimensions. We show that the gauging involves isometries of the vector multiplet scalar manifold…

High Energy Physics - Theory · Physics 2012-12-05 Davide Cassani , Paul Koerber , Oscar Varela

We show how to construct supersymmetric warped AdS$_7$ vacua of massive IIA and AdS$_6$ vacua of IIB supergravity, using "half-maximal structures" of exceptional field theory. We use this formalism to obtain the minimal consistent…

High Energy Physics - Theory · Physics 2018-10-17 Emanuel Malek , Henning Samtleben , Valentí Vall Camell

F-theory on appropriately fibered Spin(7) holonomy manifolds is defined to arise as the dual of M-theory on the same space in the limit of a shrinking fiber. A class of Spin(7) orbifolds can be constructed as quotients of elliptically…

High Energy Physics - Theory · Physics 2015-06-17 Federico Bonetti , Thomas W. Grimm , Eran Palti , Tom G. Pugh

We perform a systematic search for N=1 Minkowski vacua of type II string theories on compact six-dimensional parallelizable nil- and solvmanifolds (quotients of six-dimensional nilpotent and solvable groups, respectively). Some of these…

High Energy Physics - Theory · Physics 2010-01-07 Mariana Graña , Ruben Minasian , Michela Petrini , Alessandro Tomasiello

AdS$_7$ solutions of massive type IIA have been classified, and are dual to a large class of six-dimensional $(1,0)$ SCFT's whose tensor branch deformations are described by linear quivers of SU groups. Quivers and AdS vacua depend solely…

High Energy Physics - Theory · Physics 2018-03-14 Fabio Apruzzi , Marco Fazzi

We construct new families of supersymmetric AdS$_3$ solutions in both massive and massless Type IIA supergravity via deformations to known backgrounds preserving $\mathcal{N} = (4,0)$ and $\mathcal{N} = (6,0)$ supersymmetry. These…

High Energy Physics - Theory · Physics 2025-04-16 Anayeli Ramirez , Salomon Zacarias

We present a comprehensive classification of supersymmetric vacua of M-theory compactification on seven-dimensional manifolds with general four-form fluxes. We analyze the cases where the resulting four-dimensional vacua have N = 1,2,3,4…

High Energy Physics - Theory · Physics 2008-11-26 Klaus Behrndt , Mirjam Cvetic , Tao Liu

We study supersymmetric scale-separated AdS$_3$ flux vacua of massive IIA on G2 orbifolds with smeared orientifold planes. We consider two types of $T^7/Z_2^3$ orbifolds which, with appropriate flux choices, yield integer dual dimensions…

High Energy Physics - Theory · Physics 2025-03-18 Fotis Farakos , George Tringas

We consider compactifications of massive IIA supergravity on a six-sphere. This setup is known to give rise to non-supersymmetric AdS$_4$ vacua preserving SO$(7)$ as well as G$_2$ residual symmetry. Both solutions have a round $S^6$ metric…

High Energy Physics - Theory · Physics 2022-04-06 Pieter Bomans , Davide Cassani , Giuseppe Dibitetto , Nicolo Petri

We utilise the duality between M theory and Type IIA string theory to show the existence of Freund-Rubin compactifications of M theory on 7-manifolds with singularities supporting chiral fermions. This leads to a concrete way to study…

High Energy Physics - Theory · Physics 2007-05-23 B. S. Acharya , F. Denef , C. Hofman , N. Lambert

We review recent progress in constructing type IIB AdS$_{3}$ flux vacua that exhibit parametrically-controlled scale separation and come along with integer-valued conformal dimensions for the would-be dual CFT$_{2}$ operators. We comment on…

High Energy Physics - Theory · Physics 2025-09-30 Álvaro Arboleya , Adolfo Guarino , Matteo Morittu

It has been recently argued that an embedding of the SM into a consistent theory of quantum gravity may imply important constraints on the mass of the lightest neutrino and the cosmological constant $\Lambda_{4}$. The constraints come from…

High Energy Physics - Theory · Physics 2018-07-04 Eduardo Gonzalo , Alvaro Herráez , Luis E. Ibáñez

Here we study the deformations of associative submanifolds inside a G_2 manifold M^7 with a calibration 3-form \phi. A choice of 2-plane field \Lambda on M (which always exits) splits the tangent bundle of M as a direct sum of a…

Geometric Topology · Mathematics 2007-05-23 Selman Akbulut , Sema Salur