English
Related papers

Related papers: The spinorial geometry of supersymmetric backgroun…

200 papers

Using the characterization of the spin representation in terms of exterior forms, we give a complete classification of invariant spinors on the nine homogeneous realizations of the sphere $S^n$. In each of the cases we determine the…

Differential Geometry · Mathematics 2023-05-10 Ilka Agricola , Jordan Hofmann , Marie-Amélie Lawn

We study the effect of T-duality on supersymmetry in the context of type II supergravity. For both U(1) Abelian and SU(2) non-Abelian T-duality, we demonstrate that the supersymmetry variations after T-duality are related to the variations…

High Energy Physics - Theory · Physics 2016-12-01 Özgür Kelekci , Yolanda Lozano , Niall T. Macpherson , Eoin Ó Colgáin

We introduce a spin field approach, that is compatible with the Cartan moving frame method, to describe the submanifold in a flat space. In fact, we consider a kind of spin field $\psi$, that satisfies a Killing spin field equation…

General Mathematics · Mathematics 2024-06-21 Shou-Jyun Zou

Euclidean special geometry has recently been investigated in the context of Euclidean supersymmetric theories with vector multiplets. In the rigid case, the scalar manifold is described by affine special para-Kahler geometry while the…

High Energy Physics - Theory · Physics 2015-06-11 Jan B. Gutowski , W. A. Sabra

We construct explicit examples of non-relativistic supersymmetric field theories on curved Newton-Cartan three-manifolds. These results are obtained by performing a null reduction of four-dimensional supersymmetric field theories on…

High Energy Physics - Theory · Physics 2020-08-26 Eric Bergshoeff , Athanasios Chatzistavrakidis , Johannes Lahnsteiner , Luca Romano , Jan Rosseel

We test the robustness of the conditions required for the existence of (supersymmetric) warped flux anti-de Sitter, de Sitter, and Minkowski backgrounds in supergravity theories using as examples suitable foliations of anti-de Sitter…

High Energy Physics - Theory · Physics 2016-07-04 U. Gran , J. B. Gutowski , G. Papadopoulos

The Riemannian geometry of coset spaces is reviewed, with emphasis on its applications to supergravity and M-theory compactifications. Formulae for the connection and curvature of rescaled coset manifolds are generalized to the case of…

High Energy Physics - Theory · Physics 2009-10-31 Leonardo Castellani

We study the general requirement for supersymmetric AdS$_6$ solutions in type IIB supergravity. We employ the Killing spinor technique and study the differential and algebraic relations among various Killing spinor bilinears to find the…

High Energy Physics - Theory · Physics 2020-07-20 Hyojoong Kim , Nakwoo Kim , Minwoo Suh

We consider a class of smooth oriented Lorentzian manifolds in dimensions three and four which admit a nowhere vanishing conformal Killing vector and a closed two-form that is invariant under the Lie algebra of conformal Killing vectors.…

High Energy Physics - Theory · Physics 2014-06-20 Paul de Medeiros

Supersymmetric solutions of 11-dimensional supergravity can be classified according to the holonomy of the supercovariant derivative arising in the Killing spinor condition. It is shown that the holonomy must be contained in $\SL(32,\R)$.…

High Energy Physics - Theory · Physics 2007-05-23 Chris Hull

We study how the supersymmetry algebra copes with gravitational duality. As a playground, we consider a charged Taub-NUT solution of D=4, N=2 supergravity. We find explicitly its Killing spinors, and the projection they obey provides…

High Energy Physics - Theory · Physics 2009-06-30 Riccardo Argurio , François Dehouck , Laurent Houart

We investigate various aspects of higher-spin anti-de Sitter supergravity in three dimensions as described by Chern-Simons theory based on the finite-dimensional superalgebra sl(N |N - 1), with the particular case of N = 3 as our prime…

High Energy Physics - Theory · Physics 2015-06-11 H. S. Tan

The classification of 1/4-supersymmetric solutions of five dimensional gauged supergravity coupled to arbitrary many abelian vector multiplets, which was initiated in hep-th/0401129, is completed. The structure of all solutions for which…

High Energy Physics - Theory · Physics 2009-11-11 Jan B. Gutowski , Wafic Sabra

We construct N=2 four and five-dimensional supergravity theories coupled to vector multiplets in various space-time signatures (t,s), where t and s refer, respectively, to the number of time and spatial dimensions. The five-dimensional…

High Energy Physics - Theory · Physics 2017-09-13 W. A. Sabra

We explicitly construct the supersymmetry transformations for the N=2 supersymmetric RG flow solution of chiral IIB supergravity. We show that the metric, dilaton/axion, five-index tensor and half of the three index tensor are determined…

High Energy Physics - Theory · Physics 2010-04-05 Krzysztof Pilch , Nicholas P. Warner

Using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the ${\cal N}=(1,1)$ Cosmological New Massive Gravity model. The solutions with a null Killing…

High Energy Physics - Theory · Physics 2015-10-28 Gokhan Alkac , Luca Basanisi , Eric A. Bergshoeff , Deniz Olgu Devecioglu , Mehmet Ozkan

We study metric solutions of Einstein-anti-Maxwell theory admitting Killing spinors. The analogue of the IWP metric which admits a space-like Killing vector is found and is expressed in terms of a complex function satisfying the wave…

High Energy Physics - Theory · Physics 2015-09-30 W. A. Sabra

We present a new 1/8 supersymmetric intersecting M-brane solution of D=11 supergravity with two independent rotation parameters. The metric has a non-singular event horizon and the near-horizon geometry is $adS_3\times S^3\times…

High Energy Physics - Theory · Physics 2016-08-25 Jerome P. Gauntlett , Robert C. Myers , Paul K. Townsend

We construct rigid supersymmetric gauge theories on Riemannian five-manifolds. We follow a holographic approach, realizing the manifold as the conformal boundary of a six-dimensional bulk supergravity solution. This leads to a systematic…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Pietro Benetti Genolini , Martin Fluder , Paul Richmond , James Sparks

We present a new Type IIB supergravity background of the warped form AdS$_4\times \mathcal{M}_6$ with dilaton, $B$-field and all Ramond-Ramond fluxes turned on. We obtain the solution by applying non-Abelian T-duality to a certain…

High Energy Physics - Theory · Physics 2017-08-30 Leopoldo A. Pando Zayas , Dimitrios Tsimpis , Catherine A. Whiting