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We present decomposable (5,6)-solutions $\widetilde{M}^{1,4} \times M^6$ in eleven-dimensional supergravity by solving the bosonic supergravity equations for a variety of non-trivial flux forms. Many of the bosonic backgrounds presented…

Differential Geometry · Mathematics 2023-12-27 Hanci Chi , Ioannis Chrysikos , Eivind Schneider

A bosonic Laplacian, which is a generalization of Laplacian, is constructed as a second order conformally invariant differential operator acting on functions taking values in irreducible representations of the special orthogonal group,…

Complex Variables · Mathematics 2026-03-19 Chao Ding , Phuoc-Tai Nguyen , John Ryan

In this article one will discuss the system of coupled nonlinear Klein-Gordon equations with different velocities and different masses. The nonlinearity considered is a general quadratic nonlinearity without any restriction. The method is a…

Analysis of PDEs · Mathematics 2011-11-21 Yue Ma

Supersymmetric solutions, such as BPS domain walls or black holes, in four- and five-dimensional supergravity theories with eight supercharges can be described by effective quantum mechanics with a potential term. We show how properties of…

High Energy Physics - Theory · Physics 2009-11-07 Klaus Behrndt , Sergei Gukov , Marina Shmakova

Compactifications of the heterotic string, to first order in the $\alpha'$ expansion, on manifolds with integrable $G_2$ structure give rise to three-dimensional ${\cal N} = 1$ supergravity theories that admit Minkowski and AdS ground…

High Energy Physics - Theory · Physics 2025-11-18 Xenia de la Ossa , Magdalena Larfors , Matthew Magill , Eirik E. Svanes

We determine all asymptotically flat, supersymmetric and biaxisymmetric soliton and black hole solutions to five dimensional minimal supergravity. In particular, we show that the solution must be a multi-centred solution with a…

High Energy Physics - Theory · Physics 2019-09-12 Veronika Breunholder , James Lucietti

We present a method for generating solutions in some scalar-tensor theories with a minimally coupled massless scalar field or irrotational stiff perfect fluid as a source. The method is based on the group of symmetries of the dilaton-matter…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Stoytcho S. Yazadjiev

This work provides a smooth and everywhere well-defined extension of Bondi-Metzner-Sachs (BMS) supertranslations into the bulk of Minkowski space. The supertranslations lead to physically distinct spacetimes, all isometric to Minkowski…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Friedrich Schöller

Procedure of constructing the BPS solutions in SO(3) model on the background of 4D-space-time with the spatial part as a model of constant curvature: Euclid, Riemann, Lobachevsky, is reexamined. It is shown that among possible…

Mathematical Physics · Physics 2010-07-27 V. Red'kov

We study the problem of stationary bi-axially symmetric solutions of the $5$-dimensional minimal supergravity equations. Essentially all possible solutions with nondegenerate horizons are produced, having the allowed horizon cross-sectional…

General Relativity and Quantum Cosmology · Physics 2023-01-06 Aghil Alaee , Marcus Khuri , Hari Kunduri

We solve the dilaton field equation in the background of a spherically symmetric black hole in bosonic or heterotic string theory with curvature-squared corrections in arbitrary d spacetime dimensions. We then apply this result to obtain a…

High Energy Physics - Theory · Physics 2011-02-15 Filipe Moura

We describe in superspace a theory of a massive superparticle coupled to a version of two dimensional N=1 dilaton supergravity. The (1+1) dimensional supergravity is generated by the stress-energy of the superparticle, and the evolution of…

High Energy Physics - Theory · Physics 2009-10-30 Marcia E. Knutt-Wehlau , R. B. Mann

This paper deals with an extension of a previous work [Gravitation & Cosmology, Vol. 4, 1998, pp 107--113] to exact spherical symmetric solutions to the spinor field equations with nonlinear terms which are arbitrary functions of…

Mathematical Physics · Physics 2015-06-12 V. Adanhounme , A. Adomou , F. P. Codo , M. N. Hounkonnou

We discuss explicit examples of BPS solutions in four-dimensional N=2 supergravity with R^2-interactions. We demonstrate how to construct solutions by iteration. Generically, the presence of higher-curvature interactions leads to non-static…

High Energy Physics - Theory · Physics 2015-06-25 G. L. Cardoso , B. de Wit , J. Käppeli , T. Mohaupt

We construct a new SO(3)$\times$SO(3) invariant non-supersymmetric solution of the bosonic field equations of $D=11$ supergravity from the corresponding stationary point of maximal gauged $N=8$ supergravity by making use of the non-linear…

High Energy Physics - Theory · Physics 2015-06-23 Hadi Godazgar , Mahdi Godazgar , Olaf Krueger , Hermann Nicolai , Krzysztof Pilch

We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space (AdS$_5$) with a five-dimensional Riemannian manifold $M_{5}$, where the…

High Energy Physics - Theory · Physics 2017-05-12 Christopher Couzens

We proceed to study a (1+1)-dimensional dilaton gravity system with a hyperbolic dilaton potential. Introducing a couple of new variables leads to two copies of Liouville equations with two constraint conditions. In particular, in conformal…

High Energy Physics - Theory · Physics 2018-03-14 Hideki Kyono , Suguru Okumura , Kentaroh Yoshida

It was recently proposed that there exist stable supersymmetric phases for finite temperature superstings. This issue was investigated using an effective supergravity which takes into account massive winding modes. Such a theory admits BPS…

High Energy Physics - Theory · Physics 2009-10-31 Konstadinos Sfetsos

We consider particlelike solutions to supergravity based on the Kerr-Newman black hole (BH) solution. The BH singularity is regularized by means of a phase transition to a new vacuum state near the core region confining a dual gauge field.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexander Burinskii

The bosonic signature operator is defined for Klein-Gordon fields and massless scalar fields on globally hyperbolic Lorentzian manifolds of infinite lifetime. The construction is based on an analysis of families of solutions of the…

Mathematical Physics · Physics 2023-04-18 Felix Finster , Albert Much