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We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we consider two notions of solutions for metric gradient flows, namely energy and generalized solutions. While the former concept coincides with…

Analysis of PDEs · Mathematics 2009-11-10 Riccarda Rossi , Antonio Segatti , Ulisse Stefanelli

Properties of an infinite system of nonlinearly coupled ordinary differential equations are discussed. This system models some properties present in the equations of motion for an inviscid fluid such as the skew symmetry and the…

Analysis of PDEs · Mathematics 2007-05-23 Alexey Cheskidov , Susan Friedlander , Natasa Pavlović

Recent work has shown that two-dimensional non-linear $\sigma$-models on group manifolds with Poisson-Lie symmetry can be understood within generalised geometry as exemplars of generalised parallelisable spaces. Here we extend this idea to…

High Energy Physics - Theory · Physics 2019-12-24 Saskia Demulder , Falk Hassler , Giacomo Piccinini , Daniel C. Thompson

Recent developments in string theory have led to 5-dimensional warped spacetime models in which standard-model fields are confined to a 3-brane (the observed universe), while gravity can propagate in the fifth dimension. Gravity is…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Roy Maartens

We study compactification of five dimensional ungauged N=2 supergravity coupled to vector- and hypermultiplets on orbifold $S^1/Z_2$. In the model the vector multiplets scalar manifold is arbitrary while the hypermultiplet scalars span a…

High Energy Physics - Theory · Physics 2010-11-19 F. P. Zen , B. E. Gunara , Arianto , H. Zainuddin

We consider the classification of near-horizon geometries in a general two-derivative theory of gravity coupled to abelian gauge fields and uncharged scalars in four and five dimensions, with one and two commuting rotational symmetries…

High Energy Physics - Theory · Physics 2011-07-28 Hari K. Kunduri , James Lucietti

One of the important consequences of the no-force condition for BPS states is the existence of stable static multi-center solutions, at least in ungauged supergravities. This observation has been at the heart of many developments in brane…

High Energy Physics - Theory · Physics 2009-10-31 James T. Liu , W. A. Sabra

Using the harmonic superspace method and the duality between real and complex representations of hypermultiplets, we compute the explicit scalar field expression of the quaternionic metric $G_{mn}$ of the moduli space…

High Energy Physics - Theory · Physics 2008-11-26 El Hassan Saidi

From the quantum field theory point of view, matter and gauge fields are generally expected to be localised around branes or topological defects occurring in extra dimensions. Here I discuss a simple scenario where, by starting with a five…

High Energy Physics - Theory · Physics 2007-05-23 Gonzalo A. Palma

We extend a recently discovered, non-singular 6 dimensional brane, solution to D=4+n dimensions. As with the previous 6D solution the present solution provides a gravitational trapping mechanism for fields of spin 0, 1/2, 1 and 2. There is…

High Energy Physics - Theory · Physics 2009-11-10 Douglas Singleton

We construct the general four-dimensional N=2 supergravity theory coupled to vector and vector-tensor multiplets only. Consistency of the construction requires the introduction of the vector fields dual to those sitting in the same…

High Energy Physics - Theory · Physics 2011-07-06 Laura Andrianopoli , Riccardo D'Auria , Luca Sommovigo , Mario Trigiante

We study dynamics of induced gravity cosmological models with sixth degree potential, that have found using the superpotential method. The important property of these models are existence of exact cosmological solutions that tend to fixed…

General Relativity and Quantum Cosmology · Physics 2014-07-29 Ekaterina O. Pozdeeva , Sergey Yu. Vernov

In this talk, I will summarize recent developments in 5-dimensional supergravity. Apart from black ring solutions, we will discuss the way of obtaining regular (bubbling) solutions with the same charges as black holes. We outline the…

High Energy Physics - Theory · Physics 2009-11-11 Klaus Behrndt

We find a class of five-dimensional Einstein-Maxwell type Lagrangians which contains the bosonic Lagrangians of vector multiplets as a subclass, and preserves some features of supersymmetry, namely the existence of multi-centered black hole…

High Energy Physics - Theory · Physics 2009-11-09 Thomas Mohaupt , Kirk Waite

We construct matter-coupled N=2 supergravity in five dimensions, using the superconformal approach. For the matter sector we take an arbitrary number of vector-, tensor- and hyper-multiplets. By allowing off-diagonal vector-tensor couplings…

High Energy Physics - Theory · Physics 2009-11-10 Eric Bergshoeff , Sorin Cucu , Tim de Wit , Jos Gheerardyn , Stefan Vandoren , Antoine Van Proeyen

We study the five-dimensional supergravity dual of the a-maximization under AdS5/CFT4 duality. We firstly show that the a-maximization is mapped to the attractor equation in five-dimensional gauged supergravity, and that the trial…

High Energy Physics - Theory · Physics 2010-04-05 Yuji Tachikawa

We analyze various brane configurations corresponding to field theories in three, four and five dimensions. We find brane configurations which correspond to three dimensional N=2 and four dimensional N=1 supersymmetric QCD theories with…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Amihay Hanany

We study the cosmological dynamics of a class of symmetric teleparallel gravity theories known as ``newer general relativity'' using the methods of dynamical systems, restricted to the case of vacuum solutions with a spatially flat…

General Relativity and Quantum Cosmology · Physics 2025-05-23 Manuel Hohmann , Ulbossyn Ualikhanova

The effective action for five-dimensional heterotic M-theory in the presence of five-branes is systematically derived from Horava-Witten theory coupled to an M5-brane world-volume theory. This leads to a five-dimensional N=1 gauged…

High Energy Physics - Theory · Physics 2009-11-07 Matthias Brandle , Andre Lukas

We present some exact non-uniform black string solutions of 5-dimensional pure Einstein gravity as well as Einstein-Maxwell-dilaton theory at arbitrary dilaton coupling. The solutions share the common property that their 4-dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Liu Zhao , Kai Niu , Bing-Shu Xia , Yi-Ling Dou , Jie Ren