Classification, geometry and applications of supersymmetric backgrounds
arXiv:1808.07879 · doi:10.1016/j.physrep.2018.11.005
Abstract
We review the remarkable progress that has been made the last 15 years towards the classification of supersymmetric solutions with emphasis on the description of the bilinears and spinorial geometry methods. We describe in detail the geometry of backgrounds of key supergravity theories, which have applications in the context of black holes, string theory, M-theory and the AdS/CFT correspondence unveiling a plethora of existence and uniqueness theorems. Some other aspects of supersymmetric solutions like the Killing superalgebras and the homogeneity theorem are also presented, and the non-existence theorem for certain smooth supergravity flux compactifications is outlined. Amongst the applications described is the proof of the emergence of conformal symmetry near black hole horizons and the classification of warped AdS backgrounds that preserve more than 16 supersymmetries.
Review, 174 pages. v2: Minor changes, references added
References in corpus (48)
- Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
- Mergers and Typical Black Hole Microstates
- AdS_6 solutions of type II supergravity
- Type IIB Supergravity Solutions with AdS From Abelian and Non-Abelian T Dualities
- Plumbing the Abyss: Black Ring Microstates
- String Theory Effects on Five-Dimensional Black Hole Physics
- The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
- AdS spacetimes from wrapped M5 branes
- New supersymmetric AdS4 type II vacua
- Geometry of all supersymmetric type I backgrounds
- Comments on AdS2 solutions of D=11 Supergravity
- A supersymmetric black lens
- A class of BPS time-dependent 3-charge microstates from spectral flow
- Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
- N=31 is not IIB
- BPS black holes in N=2 D=4 gauged supergravities
- N=31, D=11
- -corrected black holes in String Theory
- Rotating BPS black holes in matter-coupled AdS(4) supergravity
- All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
- Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Beyond Self-Duality
- Geometry of four-dimensional Killing spinors
- Supersymmetry of AdS and flat backgrounds in M-theory
- Supersymmetric heterotic string backgrounds
- Geometry of all supersymmetric four-dimensional supergravity backgrounds
- On the absence of BPS preonic solutions in IIA and IIB supergravities
- Supersymmetry of AdS and flat IIB backgrounds
- New half supersymmetric solutions of the heterotic string
- Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
- Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions
- Spinorial geometry and Killing spinor equations of 6-D supergravity
- IIB solutions with N>28 Killing spinors are maximally supersymmetric
- All the timelike supersymmetric solutions of all ungauged d=4 supergravities
- Comments on Black Holes in Bubbling Spacetimes
- All Killing Superalgebras for Warped AdS Backgrounds
- Null Half-Supersymmetric Solutions in Five-Dimensional Supergravity
- Squashed, magnetized black holes in minimal gauged supergravity
- BPS Solutions of Six-Dimensional (1,0) Supergravity Coupled to Tensor Multiplets
- The return of the four- and five-dimensional preons
- Vanishing Preons in the Fifth Dimension
- Maximally Minimal Preons in Four Dimensions
- Supergravity Solutions Without Tri-holomorphic U(1) Isometries
- AdS4 backgrounds with N>16 supersymmetries in 10 and 11 dimensions
- Geometry of type II common sector N=2 backgrounds
- Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities
- Symmetry enhancement of extremal horizons in D=5 supergravity
- Mapping the G-structures and supersymmetric vacua of five-dimensional N=4 supergravity
- dilaton-Weyl multiplets in 5D and Nishino-Rajpoot supergravity off-shell
Cited by in corpus (18)
- On the supersymmetric solutions of the Heterotic Superstring effective action
- Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds
- Geometry and symmetries of null G-structures
- Real Killing Spinors in Neutral Signature
- Symmetries, Spinning Particles and the TCFH of D=4,5 Minimal Supergravities
- Hypersymplectic Geometry and Supersymmetric Solutions in (t,s) 5D Supergravity
- On Stringy de Sitter Spacetimes
- TCFHs, hidden symmetries and type II theories
- Spinors of real type as polyforms and the generalized Killing equation
- Non-extremal near-horizon geometries
- TCFHs, hidden symmetries and M-theory backgrounds
- All the three dimensional Lorentzian metrics admitting three Killing vectors
- Supersymmetry of the Robinson-Trautman solution
- TCFHs, IIB warped AdS backgrounds and hidden symmetries
- The TCFHs of D=11 AdS backgrounds and hidden symmetries
- N=4 Near-Horizon Geometries in D=11 Supergravity
- Supersymmetric dS4 solutions in D=11 supergravity
- Neutral Signature Gauged Supergravity Solutions