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Related papers: On Nonlinear $\sigma$-Models arizing in (Super-)Gr…

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This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized K\"ahler geometry from sigma models with additional spinorial superfields.…

High Energy Physics - Theory · Physics 2007-05-23 Ulf Lindström

We first make a Killing spinor analysis for a general three-dimensional off-shell $N=(2,0)$ supergravity and find conditions for a bosonic background to preserve some supersymmetry . We then consider a particular model, namely $N=(2,0)$…

High Energy Physics - Theory · Physics 2016-07-20 Nihat Sadik Deger , George Moutsopoulos

We study a heterotic two-dimensional N=(0,2) gauged non-linear sigma-model whose target space is a weighted complex projective space. We consider the case with N positively and N^~=N_F - N negatively charged fields. This model is believed…

High Energy Physics - Theory · Physics 2010-12-30 Peter Koroteev , Alexander Monin , Walter Vinci

The bosonic content of string theory in curved background of multidimensional structure with p-branes has a systematic geometrical description as an effective sigma-model of gravity in lower dimension (say 3+1) with additional interacting…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Rainer

For extended $\mathcal{N}\leq 8$ supersymmetry we classify all possible gauge groups for a scalar multiplet allowed by the algebras of global and local supersymmetry in three dimensions. A detailed discussion of supersymmetry enhancement is…

High Energy Physics - Theory · Physics 2018-08-10 Frederik Lauf , Ivo Sachs

A new symmetry of $(1,0)$ supersymmetric non-linear $\sigma$-models in two dimensions with Fermi and mass sectors is introduced. It is a generalisation of the so-called special holonomy $W$-symmetry of Howe and Papadopoulos associated with…

High Energy Physics - Theory · Physics 2019-09-18 Xenia de la Ossa , Marc-Antoine Fiset

Subject to some relatively mild assumptions, we derive the complete form of all timelike half-supersymmetric solutions to N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets. This is done using spinorial…

High Energy Physics - Theory · Physics 2014-11-20 Dietmar Klemm , Emanuele Zorzan

We construct a Lagrangian formulation of \Nf supersymmetric mechanics with hyper-K\"{a}hler sigma models in a bosonic sector in the non-Abelian background gauge field. The resulting action includes a wide class of \Nf supersymmetric…

High Energy Physics - Theory · Physics 2012-03-22 Stefano Bellucci , Sergey Krivonos , Anton Sutulin

We consider theories with gravity, gauge fields and scalars in four-dimensional asymptotically flat space-time. By studying the equations of motion directly we show that the attractor mechanism can work for non-supersymmetric extremal black…

High Energy Physics - Theory · Physics 2009-11-11 Kevin Goldstein , Norihiro Iizuka , Rudra P. Jena , Sandip P. Trivedi

Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this…

High Energy Physics - Theory · Physics 2009-02-19 Micha Berkooz , Boris Pioline

Motivated by the apparent dependence of string $\sigma$--models on the sum of spacetime metric and antisymmetric tensor fields, we reconsider gravity theories constructed from a nonsymmetric metric. We first show that all such "geometrical"…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Damour , S. Deser , J. McCarthy

For general off-shell N=2 supergravity-matter systems in three spacetime dimensions, a formalism is developed to reduce the corresponding actions from superspace to components. The component actions are explicitly computed in the cases of…

High Energy Physics - Theory · Physics 2014-04-29 Sergei M. Kuzenko , Ulf Lindstrom , Martin Rocek , Ivo Sachs , Gabriele Tartaglino-Mazzucchelli

The electrostatic, spherically symmetric solutions of the general class of non-linear abelian gauge models, minimally coupled to gravity, are classified and discussed in terms of the ADM mass and the electromagnetic energy of the associated…

High Energy Physics - Theory · Physics 2010-01-19 J. Diaz-Alonso , D. Rubiera-Garcia

We give a gentle introduction to the global geometric formulation of the bosonic sector of four-dimensional supergravity on an oriented four-manifold $M$ of arbitrary topology, providing a geometric characterization of its U-duality group.…

Differential Geometry · Mathematics 2021-07-02 C. I. Lazaroiu , C. S. Shahbazi

We show that the non-linear BMS$_5$ symmetry algebra of asymptotically flat Einstein gravity in five dimensions, as well as the super-BMS$_4$ superalgebra of asymptotically flat supergravity, can be redefined so as to take a direct sum…

High Energy Physics - Theory · Physics 2023-09-15 Oscar Fuentealba , Marc Henneaux

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose…

General Relativity and Quantum Cosmology · Physics 2013-04-24 J. Diaz-Alonso , D. Rubiera-Garcia

We obtain new stationary charged solutions of five-dimensional minimal supergravity. We first obtain purely dipole charged solutions, by extending a technique that we developed for five-dimensional Ricci-flat metrics in a previous paper,…

High Energy Physics - Theory · Physics 2014-11-18 H. Lu , Jianwei Mei , C. N. Pope

In this review, we give a pedagogical introduction to a systematic framework for constructing and analyzing supersymmetric field theories on curved spacetime manifolds. The framework is based on the use of off-shell supergravity background…

High Energy Physics - Theory · Physics 2017-10-25 Thomas T. Dumitrescu

The locally supersymmetric extension of the most general gravity theory in three dimensions leading to first order field equations for the vielbein and the spin connection is constructed. Apart from the Einstein-Hilbert term with…

High Energy Physics - Theory · Physics 2008-11-26 Alex Giacomini , Ricardo Troncoso , Steven Willison

We study the classical solutions of the Einstein-Yang-Mills model in five dimensions in the presence of a cosmological constant $\Lambda$. Using a spherically symmetric ansatz and assuming that the fields do not depend on the extra…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Y. Brihaye , F. Bakkali Taheri