Geometry of four-dimensional Killing spinors

Abstract

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 1/2-supersymmetric time-like case of the gauged theory, we derive the complete form of all supersymmetric solutions. This includes a number of new 1/4- and 1/2-supersymmetric possibilities, like gravitational waves on bubbles of nothing in AdS_4.

70 pages, JHEP3. v2: new explicit solutions for G_0 = 0 and reference added

References in corpus (40)

• All supersymmetric solutions of minimal supergravity in five dimensions
• The Geometry of D=11 Killing Spinors
• G-Structures and Wrapped NS5-Branes
• All supersymmetric solutions of minimal supergravity in six dimensions
• Plane Wave Limits and T-Duality
• Supersymmetry of Anti-de Sitter Black Holes
• All supersymmetric solutions of minimal gauged supergravity in five dimensions
• Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
• The Geometry of D=11 Null Killing Spinors
• The spinorial geometry of supersymmetric backgrounds
• The dual of nothing
• Supersymmetry of topological Kerr-Newmann-Taub-NUT-aDS spacetimes
• All Supersymmetric Solutions of N=2, D=4 Gauged Supergravity
• The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Breaking the M-waves
• The spinorial geometry of supersymmetric IIB backgrounds
• The G_2 spinorial geometry of supersymmetric IIB backgrounds
• BPS states in M-theory and twistorial constituents
• Geometry of all supersymmetric type I backgrounds
• The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory
• General Supersymmetric Solutions of Five-Dimensional Supergravity
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• Bubbles in Anti-de Sitter Space
• Systematics of M-theory spinorial geometry
• Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
• N=31 is not IIB
• w_{\infty} Algebras, Conformal Mechanics, and Black Holes
• More on BPS solutions of N=2, D=4 gauged supergravity
• Systematics of IIB spinorial geometry
• All the supersymmetric configurations of N=4,d=4 supergravity
• N=31, D=11
• Timelike Killing spinors in seven dimensions
• On the absence of BPS preonic solutions in IIA and IIB supergravities
• M-theory preons cannot arise by quotients
• S-branes and (Anti-)Bubbles in (A)dS Space
• Supersymmetric Godel-type Universe in four Dimensions
• Vanishing Preons in the Fifth Dimension
• Maximally Minimal Preons in Four Dimensions
• Generalized Holonomy of Supergravities with 8 Real Supercharges

Cited by in corpus (31)

• All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• Non-conformality of gamma_i-deformed N=4 SYM theory
• Supersymmetric black lenses in five dimensions
• Supersymmetric solutions to gauged N=2 d=4 sugra: the full timelike shebang
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Gravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of the Gravitational Chern-Simons in the Boundary
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• HKT Geometry and de Sitter Supergravity
• Geometry of all supersymmetric four-dimensional $\mathcal{N}=1$ supergravity backgrounds
• Supersymmetry of the C-metric and the general Plebanski-Demianski solution
• Classification, geometry and applications of supersymmetric backgrounds
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• The timelike half-supersymmetric backgrounds of N=2, D=4 supergravity with Fayet-Iliopoulos gauging
• Half-Supersymmetric Solutions in Five-Dimensional Supergravity
• Solutions of Minimal Four Dimensional de Sitter Supergravity
• The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity
• Geometry of Killing spinors in neutral signature
• Cosmological solutions from fake N=2 EYM supergravity
• Gravitational Instantons and Euclidean Supersymmetry
• Holographic formula for the determinant of the scattering operator in thermal AdS
• Classification of maximally supersymmetric backgrounds in supergravity theories
• Solutions of D=4 Gauged Pseudo-Supergravity
• A note on a gauge-gravity relation and functional determinants
• Fermionic instantons
• Supersymmetry of the Robinson-Trautman solution
• The Classification of Highly Supersymmetric Supergravity Solutions
• Killing Spinors and Related Symmetries in Six Dimensions
• Killing Spinors -- Beyond Supergravity
• Supersymmetric, fermionic solutions in three-dimensional supergravity