Extremal solutions of the S3 model and nilpotent orbits of G2(2)
arXiv:1004.5242 · doi:10.1007/JHEP08(2010)072
Abstract
We study extremal black hole solutions of the S3 model (obtained by setting S=T=U in the STU model) using group theoretical methods. Upon dimensional reduction over time, the S3 model exhibits the pseudo-Riemannian coset structure G/K with G=G2(2) and K=SO(2,2). We study nilpotent K-orbits of G2(2) corresponding to non-rotating single-center extremal solutions. We find six such distinct K-orbits. Three of these orbits are supersymmetric, one is non-supersymmetric, and two are unphysical. We write general solutions and discuss examples in all four physical orbits. We show that all solutions in supersymmetric orbits when uplifted to five-dimensional minimal supergravity have single-center Gibbons-Hawking space as their four-dimensional Euclidean hyper-Kähler base space. We construct hitherto unknown extremal (supersymmetric as well as non-supersymmetric) pressureless black strings of minimal five-dimensional supergravity and briefly discuss their relation to black rings.
arXiv comment45 pages, 2 figures. v2: minor changes. Published version
References in corpus (46)
- N=2 Extremal Black Holes
- All supersymmetric solutions of minimal supergravity in five dimensions
- Black Hole Entropy in M-Theory
- Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
- Black Holes and Critical Points in Moduli Space
- Universality of Sypersymmetric Attractors
- A supersymmetric black ring
- Four Dimensional String/String/String Triality
- Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,
- Non-Supersymmetric Attractors
- Supergravity Microstates for BPS Black Holes and Black Rings
- Bubbling Supertubes and Foaming Black Holes
- New Connections Between 4D and 5D Black Holes
- Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
- Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
- Flow Equations for Non-BPS Extremal Black Holes
- The Rotating Dyonic Black Holes Of Kaluza-Klein Theory
- World-Volume Effective Theory for Higher-Dimensional Black Holes
- Rotating Kaluza-Klein Black Holes
- E(7) Symmetric Area of the Black Hole Horizon
- Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness
- First-order flow equations for extremal black holes in very special geometry
- Geometry of D1-D5-P bound states
- Non-Supersymmetric Attractor Flow in Symmetric Spaces
- A Charged Rotating Black Ring
- Universal BPS structure of stationary supergravity solutions
- Non-supersymmetric black rings as thermally excited supertubes
- Generating Geodesic Flows and Supergravity Solutions
- Higher-dimensional Origin of D=3 Coset Symmetries
- Supersymmetric 4D Rotating Black Holes from 5D Black Rings
- First Order Description of Black Holes in Moduli Space
- BPS black holes, quantum attractor flows and automorphic forms
- Almost BPS black holes
- Splitting hairs of the three charge black hole
- Extremal black holes, nilpotent orbits and the true fake superpotential
- stu Black Holes Unveiled
- First-order flow equations for extremal and non-extremal black holes
- Constituent Model of Extremal non-BPS Black Holes
- G2 Dualities in D=5 Supergravity and Black Strings
- Integrability of Five Dimensional Minimal Supergravity and Charged Rotating Black Holes
- Gravitational multi-NUT solitons, Komar masses and charges
- Multi-black holes from nilpotent Lie algebra orbits
- Exact Solutions and the Attractor Mechanism in Non-BPS Black Holes
- 5D Black Holes and Non-linear Sigma Models
- Entropy of Thermally Excited Black Rings
- Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4
Cited by in corpus (31)
- Black holes in N=8 supergravity from SO(4,4) hidden symmetries
- The Kerr/CFT correspondence and its extensions: a comprehensive review
- U-duality and non-BPS solutions
- Branes and the Kraft-Procesi Transition
- Subtracted Geometry From Harrison Transformations
- Quiver Theories for Moduli Spaces of Classical Group Nilpotent Orbits
- Interacting non-BPS black holes
- On the Black-Hole/Qubit Correspondence
- Octonionic black holes
- Branes and the Kraft-Procesi transition: classical case
- Black holes in supergravity and integrability
- Magnetic Charge Can Locally Stabilize Kaluza-Klein Bubbles
- Integrability of Supergravity Black Holes and New Tensor Classifiers of Regular and Nilpotent Orbits
- Small Orbits
- A General Black String and its Microscopics
- Duality covariant non-BPS first order systems
- On Extremal Limits and Duality Orbits of Stationary Black Holes
- Extremal Limits of Rotating Black Holes
- Black hole solutions to the -model and their orbits (I)
- Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes
- Rotating black holes, global symmetry and first order formalism
- A Search for an N=2 Inflaton Potential
- Extremal Charged Black Holes with a Twisted Extra Dimension
- Constructing near-horizon geometries in supergravities with hidden symmetry
- Iwasawa N=8 Attractors
- Extremal limits of the Cvetic-Youm black hole and nilpotent orbits of G2(2)
- Nilpotent orbits in real symmetric pairs and stationary black holes
- Bertotti-Robinson solutions of D=5 Einstein-Maxwell-Chern-Simons-Lambda theory
- Stationary Black Holes in Supergravity: The Issue of Real Nilpotent Orbits
- Bertotti-Robinson and soliton string solutions of minimal supergravity
- Exact Solutions and Black Hole Stability in Higher Dimensional Supergravity Theories