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We study constrained generalized Killing spinors over the metric cone and cylinder of a (pseudo-)Riemannian manifold, developing a toolkit which can be used to investigate certain problems arising in supersymmetric flux compactifications of…

High Energy Physics - Theory · Physics 2013-10-22 Calin-Iuliu Lazaroiu , Elena-Mirela Babalic

We compactify M-theory on seven-manifolds with a warp-factor and G-fluxes on the internal space. Because of non-zero G-fluxes, we are forced to adopt a Majorana supersymmetry spinor ansatz which does not have the usual direct product…

High Energy Physics - Theory · Physics 2007-05-23 Tibra Ali

We consider warped compactifications of ${\cal M}$-theory to three-dimensional Minkowski space on compact eight-manifolds. Taking all the leading quantum gravity corrections of eleven-dimensional supergravity into account we obtain the…

High Energy Physics - Theory · Physics 2014-11-18 Katrin Becker , Melanie Becker

The requirement of ${\cal N}=1$ supersymmetry for M-theory backgrounds of the form of a warped product ${\cal M}\times_{w}X$, where $X$ is an eight-manifold and ${\cal M}$ is three-dimensional Minkowski or AdS space, implies the existence…

High Energy Physics - Theory · Physics 2009-11-11 Dimitrios Tsimpis

We continue the analysis of the geometry of generic Minkowski $\mathcal{N} = 1$, $D = 4$ flux compactifications in M-theory using exceptional generalised geometry, including the calculation of the infinitesimal moduli spaces. The…

High Energy Physics - Theory · Physics 2022-11-18 George Robert Smith , Daniel Waldram

In this note we study warped compactifications of M-theory on manifolds of Spin(7) holonomy in the presence of background 4-form flux. The explicit form of the superpotential can be given in terms of the self -dual Cayley calibration on the…

High Energy Physics - Theory · Physics 2009-11-07 Bobby Acharya , Sergei Gukov , Xenia de la Ossa

We present a systematic attempt at classification of supersymmetric M-theory vacua with zero flux; that is, eleven-dimensional lorentzian manifolds with vanishing Ricci curvature and admitting covariantly constant spinors. We show that…

High Energy Physics - Theory · Physics 2009-10-31 JM Figueroa-O'Farrill

In this note we consider compactifications of ${\cal M}$-theory on $Spin(7)$-holonomy manifolds to three-dimensional Minkowski space. In these compactifications a warp factor is included. The conditions for unbroken N=1 supersymmetry give…

High Energy Physics - Theory · Physics 2010-02-03 Katrin Becker

We construct and analyse holographic duals to a class of four-dimensional N = 1 SU($N_c$) SQCD-like theories compactified on a circle with an R-symmetry twist. The setup originates from type IIB backgrounds previously proposed as duals to…

High Energy Physics - Theory · Physics 2025-08-28 Niall T. Macpherson , Paul Merrikin , Carlos Nunez , Ricardo Stuardo

We compactify the M-theory proposed by Horava and Witten on a Calabi-Yau manifold with boundary $S_1/Z_2$. A no-scale-like K\"ahler potential, the superpotential, and the gauge kinetic function are obtained in this 4-dimensional $E_6\times…

High Energy Physics - Phenomenology · Physics 2016-08-24 T. Li , J. Lopez , D. Nanopoulos

We prove that, for M theory or type II, generic Minkowski flux backgrounds preserving $\mathcal{N}$ supersymmetries in dimensions $D\geq4$ correspond precisely to integrable generalised $G_{\mathcal{N}}$ structures, where $G_{\mathcal{N}}$…

High Energy Physics - Theory · Physics 2016-12-21 André Coimbra , Charles Strickland-Constable

We find the bosonic sector of the gauged supergravities that are obtained from 11-dimensional supergravity by Scherk-Schwarz dimensional reduction with flux to any dimension D. We show that, if certain obstructions are absent, the…

High Energy Physics - Theory · Physics 2009-11-11 C. M. Hull , R. A. Reid-Edwards

In this thesis, we study moduli in compactifications of ten-dimensional heterotic supergravity. We consider supersymmetric compactifications to four-dimensional maximally symmetric space, commonly referred to as the Strominger system. The…

High Energy Physics - Theory · Physics 2015-12-28 Eirik Eik Svanes

We continue the investigation of symmetries and anomalies of $T[M]$ theories obtained by compactifying 6d SCFTs on an internal manifold $M$. We extend the notion of "polarizations on a manifold $M$" to cases where $M$ may have boundaries or…

High Energy Physics - Theory · Physics 2026-03-03 Sergei Gukov , Po-Shen Hsin , Du Pei

An attractive mechanism to break supersymmetry in vacua with zero vacuum energy arose in E_8 x E_8 heterotic models with hidden sector gaugino condensate. An H-flux balances the exponentially small condensate on shell and fixes the complex…

High Energy Physics - Theory · Physics 2008-11-26 Axel Krause

We study new compactifications of the SO(32) heterotic string theory on compact complex non-Kahler manifolds. These manifolds have many interesting features like fewer moduli, torsional constraints, vanishing Euler character and vanishing…

High Energy Physics - Theory · Physics 2010-02-03 Katrin Becker , Melanie Becker , Keshav Dasgupta , Paul S. Green

We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic in the Riemann curvature, that admit an eight-dimensional compact space. The internal background is found to be a conformally Kahler…

High Energy Physics - Theory · Physics 2015-06-22 Thomas W. Grimm , Tom G. Pugh , Matthias Weissenbacher

We study M and F theory compactifications on Calabi-Yau four-folds in the presence of non-trivial background flux. The geometry is warped and belongs to the class of p-brane metrics. We solve for the explicit warp factor in the orbifold…

High Energy Physics - Theory · Physics 2010-11-19 Brian R. Greene , Koenraad Schalm , Gary Shiu

We study M-theory compactified on a specific class of seven-dimensional manifolds with SU(3) structure. The manifolds can be viewed as a fibration of an arbitrary Calabi-Yau threefold over a circle, with a U-duality twist around the circle.…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Micha Berkooz , Jan Louis , Andrei Micu

It is known that four-dimensional cosmologies exhibiting transient phases of acceleration can be obtained by compactifications of low-energy effective string or M-theory on time-varying manifolds. In the four-dimensional theory, the…

High Energy Physics - Theory · Physics 2010-04-05 Edward Teo