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Related papers: Generalised $G_2$-structures and type IIB superstr…

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We reduce the embedding problem for hypo SU(2) and SU(3)-structures to the embedding problem for hypo G2-structures into parallel Spin(7)-manifolds. The latter will be described in terms of gauge deformations. This description involves the…

Differential Geometry · Mathematics 2010-08-02 Sebastian Stock

We study N=1 Minkowski vacua in compactifications of type II string theory in the language of exceptional generalized geometry (EGG). We find the differential equations governing the EGG analogues of the pure spinors of generalized complex…

High Energy Physics - Theory · Physics 2015-05-28 Mariana Graña , Francesco Orsi

We propose a way to classify all supersymmetric configurations of D=11 supergravity using the G-structures defined by the Killing spinors. We show that the most general bosonic geometries admitting a Killing spinor have at least a local…

High Energy Physics - Theory · Physics 2009-11-07 Jerome P. Gauntlett , Stathis Pakis

Generalised Complex Geometry provides a natural interpretation of the $\mathcal{N}=1$ supersymmetry conditions for warped solutions of type II supergravity as differential equations on polyforms on the internal manifold. Written in this…

High Energy Physics - Theory · Physics 2024-06-18 Vincent Menet

In a previous paper we have constructed a compactification $KGl_n$ of the general linear group $Gl_n$, which in many respects is analogous to the so called wonderful compactification of adjoint semisimple algebraic groups as studied by De…

Algebraic Geometry · Mathematics 2007-05-23 Ivan Kausz

We present a generalised geometry framework for systematically constructing consistent truncations of ten- and eleven-dimensional supergravity preserving varying fractions of supersymmetry. Truncations arise when there is a reduced…

High Energy Physics - Theory · Physics 2020-01-08 Davide Cassani , Gregoire Josse , Michela Petrini , Daniel Waldram

We consider M-theory and type IIA reductions to four dimensions with N=2 and N=1 supersymmetry and discuss their interconnection. Our work is based on the framework of Exceptional Generalized Geometry (EGG), which extends the tangent bundle…

High Energy Physics - Theory · Physics 2015-06-12 Mariana Graña , Hagen Triendl

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

We establish a twistor correspondence between a cuspidal cubic curve in a complex projective plane, and a co-calibrated homogeneous $G_2$ structure on the seven--dimensional parameter space of such cubics. Imposing the Riemannian reality…

Differential Geometry · Mathematics 2012-01-27 Boris Doubrov , Maciej Dunajski

Motivated by the description of $\mathcal{N}=1$ M-theory compactifications to four-dimensions given by Exceptional Generalized Geometry, we propose a way to geometrize the M-theory fluxes by appropriately relating the compactification space…

High Energy Physics - Theory · Physics 2015-04-07 Mariana Graña , C. S. Shahbazi

We find exact solutions for N=2 supersymmetric SO(N), N=7,9,10,11,12 gauge theories with matter in the fundamental and spinor representation. These theories, with specific numbers of vectors and spinors, arise naturally in the…

High Energy Physics - Theory · Physics 2009-10-30 Mina Aganagic , Martin Gremm

Several aspects concerning the physics of D-branes in Type II flux compactifications preserving minimal N=1 supersymmetry in four dimensions are considered. It is shown how these vacua are completely characterized in terms of properly…

High Energy Physics - Theory · Physics 2008-11-26 Luca Martucci

We construct novel classes of compact G2 spaces from lifting type IIA flux backgrounds with O6 planes. There exists an extension of IIA Calabi-Yau orientifolds for which some of the D6 branes (required to solve the RR tadpole) are dissolved…

High Energy Physics - Theory · Physics 2025-03-13 Stefano Andriolo , Gary Shiu , Hagen Triendl , Thomas Van Riet , Victoria Venken , Gianluca Zoccarato

Worldsheet string theory compactified on exceptional holomony manifolds is revisited following arXiv:1809.06376, where aspects of the chiral symmetry were described for the case where the compact space is a 7-dimensional G$_2$-holonomy…

High Energy Physics - Theory · Physics 2021-10-22 Marc-Antoine Fiset , Mateo Galdeano

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

We derive the conditions for unbroken supersymmetry for a Mink_2, (2,0) vacuum, arising from Type II supergravity on a compact eight-dimensional manifold M_8. When specialized to internal manifolds enjoying SU(4)xSU(4) structure the…

High Energy Physics - Theory · Physics 2015-06-17 Dario Rosa

We investigate the effective theory of type IIA string theory on six-dimensional orientifold backgrounds with SU(2)-structure. We focus on the case of orientifolds with O6-planes, for which we compute the bosonic effective action in the…

High Energy Physics - Theory · Physics 2014-11-20 Thomas Danckaert , Jan Louis

We obtain a family of supersymmetric solutions of type IIB supergravity with dynamic SU(2) structure, which describe the local geometry near a stack of four D7-branes and one O7-plane wrapping a rigid four-cycle. The deformation to a…

High Energy Physics - Theory · Physics 2011-07-14 Ben Heidenreich , Liam McAllister , Gonzalo Torroba

We consider type II string theory compactified on a symmetric T^6/Z_2 orientifold. We study a general class of discrete deformations of the resulting four-dimensional supergravity theory, including gaugings arising from geometric and…

High Energy Physics - Theory · Physics 2010-10-27 Jessie Shelton , Washington Taylor , Brian Wecht

The geometric features and toric descriptions of two different 8-dimensional $Spin(7)$ manifolds constructed via distinct resolutions of the cone over an $SU(3)/U(1)$ base, reveals that the geometry of the $Spin(7)$ conifold transition…

High Energy Physics - Theory · Physics 2007-05-23 M. C. Tan