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We present a maximally supersymmetric IIB string background. The geometry is that of a conformally flat lorentzian symmetric space G/K with solvable G, with a homogeneous five-form flux. We give the explicit supergravity solution, compute…

High Energy Physics - Theory · Physics 2009-11-07 Matthias Blau , José Figueroa-O'Farrill , Christopher Hull , George Papadopoulos

The divergence structure of supergravity has long been a topic of concern because of the theory's non-renormalizability. In the context of string theory, where perturbative finiteness should be achieved, the supergravity counterterm…

High Energy Physics - Theory · Physics 2016-11-03 K. S. Stelle

The killing spinor of a linearly confining supergravity background previously proposed and argued to produce features of pure N=1 SU(N) gauge theory in four dimensions is constructed directly using the supersymmetry variations of the…

High Energy Physics - Theory · Physics 2020-01-10 Girma Hailu

We propose a new method to solve the Killing spinor equations of eleven-dimensional supergravity based on a description of spinors in terms of forms and on the Spin(1,10) gauge symmetry of the supercovariant derivative. We give the…

High Energy Physics - Theory · Physics 2009-10-09 Joe Gillard , Ulf Gran , George Papadopoulos

We show that the holonomy of the supercovariant connection for M-theory backgrounds with $N$ Killing spinors reduces to a subgroup of $SL(32-N,\bR)\st (\oplus^N \bR^{32-N})$. We use this to give the necessary and sufficient conditions for a…

High Energy Physics - Theory · Physics 2009-11-10 G. Papadopoulos , D. Tsimpis

Recently, a non-relativistic off-shell formulation of three dimensional Newton-Cartan supergravity was proposed as the $c \rightarrow \infty$ limit of three dimensional $\mathcal{N}=2$ supergravity in arXiv:1505.02095. In the present paper…

High Energy Physics - Theory · Physics 2016-06-29 Gino Knodel , Pedro Lisbao , James T. Liu

Certain supergravity theories admit a remarkable consistent dimensional reduction in which the internal space is a sphere. Examples include type IIB supergravity reduced on S^5, and eleven-dimensional supergravity reduced on S^4 or S^7.…

High Energy Physics - Theory · Physics 2015-05-28 H. Lu , C. N. Pope , Zhao-Long Wang

I review a recently proposed method for determining the symmetry superalgebra of a supergravity configuration from its Killing spinors, and its application to the `near-horizon' limits of various rotating and intersecting branes.

High Energy Physics - Theory · Physics 2007-05-23 P. K. Townsend

We derive, for spacetimes admitting a Spin(7) structure, the general local bosonic solution of the Killing spinor equation of eleven dimensional supergravity. The metric, four form and Killing spinors are determined explicitly, up to an…

High Energy Physics - Theory · Physics 2008-11-26 Marco Cariglia , Oisin A. P. Mac Conamhna

We present the main features of the solution of the gravitino and dilatino Killing spinor equations derived in hep-th/0510176 and hep-th/0703143 which have led to the classification of geometric types of all type I backgrounds. We then…

High Energy Physics - Theory · Physics 2008-11-26 Ulf Gran , George Papadopoulos , Diederik Roest

Let (M^n,g) be a Riemannian spin manifold. The basic equations in supergravity models of type IIa string theory with 4-form flux involve a 3-form T, a 4-form F, a spinorial covariant derivative \nabla depending on \nabla^g, T, F, and a…

Differential Geometry · Mathematics 2008-11-26 Christof Puhle

We find the geometry of all supersymmetric type I backgrounds by solving the gravitino and dilatino Killing spinor equations, using the spinorial geometry technique, in all cases. The solutions of the gravitino Killing spinor equation are…

High Energy Physics - Theory · Physics 2009-11-13 U. Gran , G. Papadopoulos , D. Roest , P. Sloane

We prove that, for M theory or type II, generic Minkowski flux backgrounds preserving $\mathcal{N}$ supersymmetries in dimensions $D\geq4$ correspond precisely to integrable generalised $G_{\mathcal{N}}$ structures, where $G_{\mathcal{N}}$…

High Energy Physics - Theory · Physics 2016-12-21 André Coimbra , Charles Strickland-Constable

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

A modification of the harmonic superfield formalism in $D=4, N=2$ supergravity using a subsidiary condition of covariance under the background supersymmetry with a central charge ($B$-covariance) is considered. Conservation of analyticity…

High Energy Physics - Theory · Physics 2014-11-18 B. M. Zupnik

Killing spinor identities relate components of equations of motion to each other for supersymmetric backgrounds. The only input required is the field content and the supersymmetry transformations of the fields, as long as an on-shell…

High Energy Physics - Theory · Physics 2018-08-24 Federico Bonetti , Dietmar Klemm , Wafic A. Sabra , Peter Sloane

Spinorial geometry techniques have recently been used to classify all half supersymmetric solutions in gauged five dimensional supergravity with vector multiplets. In this paper we consider solutions for which at least one of the Killing…

High Energy Physics - Theory · Physics 2010-01-06 Jan B. Gutowski , Wafic A. Sabra

We show that eleven-dimensional supergravity backgrounds with thirty one supersymmetries, N=31, admit an additional Killing spinor and so they are locally isometric to maximally supersymmetric ones. This rules out the existence of simply…

High Energy Physics - Theory · Physics 2009-11-11 U. Gran , J. Gutowski , G. Papadopoulos , D. Roest

The supersymmetric solutions of N=2, D=4 minimal ungauged and gauged supergravity are classified according to the fraction of preserved supersymmetry using spinorial geometry techniques. Subject to a reasonable assumption in the…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Cacciatori , M. M. Caldarelli , D. Klemm , D. S. Mansi , D. Roest

Some bosonic solutions of supergravities admit Killing spinors of unbroken supersymmetry. The anti-Killing spinors of broken supersymmetry can be used to generate the superpartners of stringy black holes. This has a consequent feedback on…

High Energy Physics - Theory · Physics 2009-09-29 Renata Kallosh , Andrei Linde