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We develop an exceptional generalised geometry formalism for massive type IIA supergravity. In particular, we construct a deformation of the generalised Lie derivative, which generates the type IIA gauge transformations as modified by the…

High Energy Physics - Theory · Physics 2016-09-21 Davide Cassani , Oscar de Felice , Michela Petrini , Charles Strickland-Constable , Daniel Waldram

In M-theory, the only AdS_7 supersymmetric solutions are AdS_7 x S^4 and its orbifolds. In this paper, we find and classify new supersymmetric solutions of the type AdS_7 x M_3 in type II supergravity. While in IIB none exist, in IIA with…

High Energy Physics - Theory · Physics 2015-06-17 Fabio Apruzzi , Marco Fazzi , Dario Rosa , Alessandro Tomasiello

We prove a non-existence theorem for smooth, supersymmetric, warped AdS6 solutions with connected, compact without boundary internal space in D=11 and (massive) IIA supergravities. In IIB supergravity we show that if such AdS6 solutions…

High Energy Physics - Theory · Physics 2018-01-17 J. B. Gutowski , G. Papadopoulos

Nongeometric flux compactifications with frozen complex structure moduli have been recently studied for several phenomenological purposes. In this context, we analyze the possibility of realizing de-Sitter solutions in the context of ${\cal…

High Energy Physics - Theory · Physics 2022-02-15 Pramod Shukla

The complete eleven-dimensional supergravity solutions with 16 supersymmetries on manifolds of the form $AdS_3 \times S^3 \times S^3 \times \Sigma$, with isometry $SO(2,2) \times SO(4) \times SO(4)$, and with either $AdS_4 \times S^7$ or…

High Energy Physics - Theory · Physics 2014-11-18 Eric D'Hoker , John Estes , Michael Gutperle , Darya Krym

We consider a codimension two scalar theory with brane-localised Higgs type potential. The six-dimensional field has Dirichlet boundary condition on the bounds of the transverse compact space. The regularisation of the brane singularity…

High Energy Physics - Theory · Physics 2008-11-26 Chloe Papineau

We present warped compactification solutions of six-dimensional supergravity, which are generalizations of the Randall-Sundrum warped brane world to codimension two and to a supersymmetric context. In these solutions the dilaton varies over…

High Energy Physics - Theory · Physics 2010-11-19 Y. Aghababaie , C. P. Burgess , J. M. Cline , H. Firouzjahi , S. L. Parameswaran , F. Quevedo , G. Tasinato , I. Zavala

We find AdS5 solutions holographically dual to compactifications of six-dimensional N=(1,0) supersymmetric field theories on Riemann surfaces with punctures. We simplify a previous analysis of supersymmetric AdS5 IIA solutions, and with a…

High Energy Physics - Theory · Physics 2017-12-06 Ibrahima Bah , Achilleas Passias , Alessandro Tomasiello

We describe three analytic classes of infinitely many AdS_d supersymmetric solutions of massive IIA supergravity, for d = 7, 5, 4. The three classes are related by simple universal maps. For example, the AdS_7 x M_3 solutions (where M_3 is…

High Energy Physics - Theory · Physics 2015-12-22 Fabio Apruzzi , Marco Fazzi , Achilleas Passias , Andrea Rota , Alessandro Tomasiello

A method to solve the problem f(x) = 0 efficiently on any n-dimensional domain Omega under very broad hypoteses is proposed. The position of the root of f, assumed unique, is found by computing the center of mass of an Omega-shaped object…

Numerical Analysis · Mathematics 2009-02-27 Fabrizio Castellano

We consider string theory compactifications of the form AdS4 x M6 with orientifold six-planes, where M6 is a six-dimensional compact space that is either a nilmanifold or a coset. For all known solutions of this type we obtain the…

High Energy Physics - Theory · Physics 2009-01-08 Claudio Caviezel , Paul Koerber , Simon Kors , Dieter Lust , Dimitrios Tsimpis , Marco Zagermann

We investigate the type II string effective potential at tree-level and derive necessary ingredients for having de Sitter solutions in orientifold models with fluxes. Furthermore, we examine some explicit O6 compactifications in IIA…

High Energy Physics - Theory · Physics 2010-09-06 Ulf H. Danielsson , Sheikh Shajidul Haque , Gary Shiu , Thomas Van Riet

We find a new class of N=2 massive IIA solutions whose internal spaces are S^2 fibrations over S^2 x S^2. These solutions appear naturally as massive deformations of the type IIA reduction of Sasaki-Einstein manifolds in M-theory, including…

High Energy Physics - Theory · Physics 2011-04-20 Alessandro Tomasiello , Alberto Zaffaroni

A solution of the 6D gravitational model, which has the pole configuration, is found. The vacuum setting is done by the 6D Higgs potential and the solution is for a family of the vacuum and boundary parameters. The boundary condition is…

High Energy Physics - Theory · Physics 2007-05-23 Shoichi Ichinose

We study orbifold compactifications of F-theory which lead to $N=1$ supersymmetry in 6 and 4 spacetime dimensions. These are dual to specific orientifolds of M-theory, and in many cases to orientifolds of type IIB string theory. The…

High Energy Physics - Theory · Physics 2009-10-30 Rajesh Gopakumar , Sunil Mukhi

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 consider the 4+1 Einstein's field equations (EFE's) in vacuum, simplified by the assumption that there is a four-dimensional sub-manifold on which an isometry group of dimension four acts simply transitive. In particular we consider the…

General Relativity and Quantum Cosmology · Physics 2018-07-11 T. Pailas , Petros A. Terzis , T. Christodoulakis

We introduce an ansatz which allows us to solve the supersymmetry equations for warped N=1 AdS4 type II supergravity compactifications of general SU(3)xSU(3) structure. As a byproduct we obtain a set of necessary conditions which every…

High Energy Physics - Theory · Physics 2009-06-15 Dieter Lust , Dimitrios Tsimpis

We continue the study of compactifications of massive IIA supergravity on G2 orientifolds and demonstrate that breaking supersymmetry with anti-D2 and anti-D6 sources leads to 3d theories for which the typical tachyons haunting classical dS…

High Energy Physics - Theory · Physics 2020-10-28 Fotis Farakos , George Tringas , Thomas Van Riet

We study a supersymmetric field theory in six dimensions compactified on the orbifold T^2/Z_2 with two Wilson lines. After supersymmetry breaking, the Casimir energy fixes the shape moduli at fixed points in field space where the symmetry…

High Energy Physics - Theory · Physics 2009-08-11 Wilfried Buchmuller , Riccardo Catena , Kai Schmidt-Hoberg