G2 Dualities in D=5 Supergravity and Black Strings

Abstract

Five dimensional minimal supergravity dimensionally reduced on two commuting Killing directions gives rise to a G2 coset model. The symmetry group of the coset model can be used to generate new solutions by applying group transformations on a seed solution. We show that on a general solution the generators belonging to the Cartan and nilpotent subalgebras of G2 act as scaling and gauge transformations, respectively. The remaining generators of G2 form a sl(2,R)+sl(2,R) subalgebra that can be used to generate non-trivial charges. We use these generators to generalize the five dimensional Kerr string in a number of ways. In particular, we construct the spinning electric and spinning magnetic black strings of five dimensional minimal supergravity. We analyze physical properties of these black strings and study their thermodynamics. We also explore their relation to black rings.

arXiv commenttypos corrected (26 pages + appendices, 2 figures)

References in corpus (51)

• A rotating black ring in five dimensions
• Black Holes in Higher Dimensions
• A supersymmetric black ring
• General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
• Dualisation of Dualities, I
• Quantum Foam and Topological Strings
• Black Holes of D=5 Supergravity
• Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
• Black Holes and Solitons in String Theory
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• Black Rings
• The Rotating Dyonic Black Holes Of Kaluza-Klein Theory
• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• Rotating Kaluza-Klein Black Holes
• Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness
• Black ring with two angular momenta
• Spacelike Singularities and Hidden Symmetries of Gravity
• A Charged Rotating Black Ring
• Universal BPS structure of stationary supergravity solutions
• The Dark Side of String Theory: Black Holes and Black Strings
• Non-supersymmetric black rings as thermally excited supertubes
• The first law of black brane mechanics
• Higher-dimensional Origin of D=3 Coset Symmetries
• Black Rings in (Anti)-deSitter space
• The Role of Dipole Charges in Black Hole Thermodynamics
• More on the Similarity between D=5 Simple Supergravity and M Theory
• General Definition of Gravitational Tension
• Duality and Moduli Spaces for Time-Like Reductions
• Euclidean-signature Supergravities, Dualities and Instantons
• Black Rings, Boosted Strings and Gregory-Laflamme
• $G_2$ generating technique for minimal D=5 supergravity and black rings
• Dynamics and Stability of Black Rings
• Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions
• Black Rings in Taub-NUT and D0-D6 interactions
• Uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity
• Stationary axisymmetric solutions of five dimensional gravity
• Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory
• Solution generating in 5D Einstein-Maxwell-dilaton gravity and derivation of dipole black ring solutions
• Reduction without reduction: Adding KK-monopoles to five dimensional stationary axisymmetric solutions
• Improved generating technique for D=5 supergravities and squashed Kaluza-Klein Black Holes
• Charged Rotating Kaluza-Klein Black Holes Generated by G2(2) Transformation
• 5D Black Holes and Non-linear Sigma Models
• Generating technique for $U(1{)}^{3}5D$ supergravity
• The symmetries of five-dimensional minimal supergravity reduced to three dimensions
• The First Law for Boosted Kaluza-Klein Black Holes
• Rotating Black Holes in Higher Dimensions
• Poincare Duality and G+++ algebra's
• Generating solutions via sigma-models
• Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4
• The Kerr black hole and rotating black string by intersecting M-branes

Cited by in corpus (39)

• Wrapped M5-branes, consistent truncations and AdS/CMT
• Black holes in N=8 supergravity from SO(4,4) hidden symmetries
• Subtracted Geometry From Harrison Transformations
• Extremal solutions of the S3 model and nilpotent orbits of G2(2)
• All Vacuum Near-Horizon Geometries in $D$-dimensions with $(D-3)$ Commuting Rotational Symmetries
• Microscopics of Extremal Kerr from Spinning M5 Branes
• Comments on the symmetry of AdS${}_6$ solutions in String/M-theory and Killing spinor equations
• Spectrum Generating Conformal and Quasiconformal U-Duality Groups, Supergravity and Spherical Vectors
• A General Black String and its Microscopics
• Super-Ehlers in Any Dimension
• Lectures on Spectrum Generating Symmetries and U-duality in Supergravity, Extremal Black Holes, Quantum Attractors and Harmonic Superspace
• Solitons in Five Dimensional Minimal Supergravity: Local Charge, Exotic Ergoregions, and Violations of the BPS Bound
• Uniqueness Theorem for Black Hole Space-Times with Multiple Disconnected Horizons
• New approach to solution generation using SL(2,R)-duality of a dimensionally reduced space in five-dimensional minimal supergravity and new black holes
• On the integrability of Einstein-Maxwell-(A)dS gravity in presence of Killing vectors
• Charged Kaluza-Klein double-black holes in five dimensions
• Three-charge 2J black ring
• Jordan Pairs, E6 and U-Duality in Five Dimensions
• Subtracted Geometry from Harrison Transformations: II
• New construction of a charged dipole black ring by Harrison transformation
• Constructing near-horizon geometries in supergravities with hidden symmetry
• "Flip" of SL(2,R)-duality in five-dimensional supergravity
• Extremal limits of the Cvetic-Youm black hole and nilpotent orbits of G2(2)
• Rotating black ring on Kaluza-Klein bubbles
• A Uniqueness theorem for black holes with Kaluza-Klein asymptotic in 5D Einstein-Maxwell gravity
• Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4
• Time-like reductions of five-dimensional supergravity
• Bertotti-Robinson solutions of D=5 Einstein-Maxwell-Chern-Simons-Lambda theory
• Smooth non-extremal D1-D5-P solutions as charged gravitational instantons
• Uniqueness of Black Holes with Bubbles in Minimal Supergravity
• Relating Mass to Angular Momentum and Charge in 5-Dimensional Minimal Supergravity
• Enhancement of hidden symmetries and Chern-Simons couplings
• A Kaluza-Klein black lens in five dimensions
• Aspects of electric-magnetic dualities in maximal supergravity
• Static four-charge squashed black hole in five-dimensional $STU-W^{2}U$ supergravity and its thermodynamics
• What U Can Do: New Solutions and New Challenges Beyond Leading Order
• Exact Solutions and Black Hole Stability in Higher Dimensional Supergravity Theories
• Symmetries of non-maximal supergravities with higher-derivative corrections
• New coset matrix for D=6 self-dual supergravity