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We present a dynamical analysis in terms of new expansion-normalized variables for homogeneous and anisotropic Bianchi-I spacetimes in $f(R)$ gravity in the presence of anisotropic matter. With a suitable choice of the evolution parameter,…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Saikat Chakraborty , Kazuharu Bamba , Alberto Saa

This paper presents solutions to Einstein's equation -- and the numerical methods used to construct them -- that describe simple cosmological models on manifolds with compact non-orientable spatial slices. These solutions have been…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Fan Zhang , Lee Lindblom

We study $T^2$ compactification of massive type IIA supergravity in presence of possible Ramond-Ramond (RR) background fluxes. The resulting theory in D=8 is shown to possess full $SL(2,R)\times SL(2,R)$ T-duality symmetry similar to the…

High Energy Physics - Theory · Physics 2014-11-18 Harvendra Singh

We investigate the classical stability of non-supersymmetric Freund-Rubin compactifications of Type IIB string theory on a product of three-dimensional Einstein spaces A_3 x B_3 with both NS-NS and R-R three-form fluxes turned on through…

High Energy Physics - Theory · Physics 2014-11-18 Yoon Pyo Hong , Indrajit Mitra

Explicit formulae are given for the consistent truncation of massive type IIA supergravity on the six-sphere to the SU(3)--invariant sector of $D=4$ ${\cal N}=8$ supergravity with dyonic ISO(7) gauging. These formulae are then used to…

High Energy Physics - Theory · Physics 2016-07-19 Oscar Varela

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

Motivated by the connection of string theory to cosmology or particle physics, we study solutions of type II supergravities having a four-dimensional de Sitter or Minkowski space-time, with intersecting Dp-branes and orientifold Op-planes.…

High Energy Physics - Theory · Physics 2018-04-04 David Andriot

We discuss the construction of chiral four dimensional ${\bf T^6/(Z_3 \times Z_3)}$ orientifold compactifications of IIA theory, using D6-branes intersecting at angles and not aligned with the orientifold O6 planes. Cancellation of mixed…

High Energy Physics - Theory · Physics 2011-07-19 Christos Kokorelis

In this paper, we mainly consider the global solvability of smooth solutions for the Cauchy problem of the three-dimensional Landau-Lifshitz-Slonczewski equation in the Morrey space. We derive the covariant complex Ginzburg-Landau equation…

Analysis of PDEs · Mathematics 2023-07-13 Chenlu Zhang , Huaqiao Wang

After orientifold projection, the conifold singularity in hypermultiplet moduli space of Calabi-Yau compactifications cannot be avoided by geometric deformations. We study the non-perturbative fate of this singularity in a local model…

High Energy Physics - Theory · Physics 2010-12-03 Kentaro Hori , Kazuo Hosomichi , David C. Page , Raul Rabadan , Johannes Walcher

We construct a consistent truncation of six-dimensional matter coupled $F(4)$ gauged supergravity on a cornucopia of two-dimensional surfaces including a spindle, disc, domain wall and other novel backgrounds to four-dimensional minimal…

High Energy Physics - Theory · Physics 2023-02-22 Christopher Couzens , Hyojoong Kim , Nakwoo Kim , Yein Lee , Minwoo Suh

We study a certain class of four-dimensional N=1 supersymmetric orientifolds for which the world-sheet parity transformation is combined with a complex conjugation in the compact directions. We investigate in detail the orientifolds of the…

High Energy Physics - Theory · Physics 2009-10-31 Ralph Blumenhagen , Lars Goerlich , Boris Kors

Important models for immortal solutions of Ricci flow that collapse with bounded curvature come from locally G-invariant solutions on principal bundles, where G is a nilpotent Lie group. In this paper, we establish convergence and…

Differential Geometry · Mathematics 2009-03-06 Dan Knopf

We construct examples of smooth 4-dimensional manifolds M supporting a locally CAT(0)-metric, whose universal cover X satisfy Hruska's isolated flats condition, and contain 2-dimensional flats F with the property that the boundary at…

Metric Geometry · Mathematics 2019-12-19 M. Davis , T. Januszkiewicz , J. -F. Lafont

Multidimensional cosmological models with $n (n > 1)$ spaces of constant curvature are discussed classically and with respect to canonical quantization. These models are integrable in the case of Ricci flat internal spaces. For positive…

General Relativity and Quantum Cosmology · Physics 2009-09-25 U. Bleyer , A. Zhuk

In this article we study any 4-dimensional Riemannian manifold $(M,g)$ with harmonic curvature which admits a smooth nonzero solution $f$ to the following equation \begin{eqnarray} \label{0002bx} \nabla df = f(Rc -\frac{R}{n-1} g) + x Rc+…

Differential Geometry · Mathematics 2016-04-13 Jongsu Kim , Jinwoo Shin

Type IIA string theory compactified on SU(3)-structure manifolds with orientifolds allows for classical de Sitter solutions in four dimensions. In this paper we investigate these solutions from a ten-dimensional point of view. In…

High Energy Physics - Theory · Physics 2014-11-20 Ulf H. Danielsson , Paul Koerber , Thomas Van Riet

We examine the Smarr formula in eleven-dimensional spacetime compactified on a general six-dimensional, Ricci-flat manifold. We show that non-zero mass for smooth and horizonless solutions can only be provided by cohomology. Furthermore, we…

High Energy Physics - Theory · Physics 2018-06-07 Patrick A. Haas

We present a classification of a large class of type IIA N=1 supersymmetric compactifications to AdS4, based on left-invariant SU(3)-structures on coset spaces. In the absence of sources the parameter spaces of all cosets leading to a…

High Energy Physics - Theory · Physics 2009-10-07 Paul Koerber , Dieter Lust , Dimitrios Tsimpis

We study the orientifold truncation that arises when compactifying type II string theory on Calabi-Yau orientifolds with O3/O7-planes, in the context of supergravity. We look at the N=2 to N=1 reduction of the hypermultiplet sector of N=2…

High Energy Physics - Theory · Physics 2009-11-10 Geert Smet , Joris Van den Bergh
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