p-brane Solitons in Maximal Supergravities

Abstract

In this paper, we give a construction of $p$-brane solitons in all maximal supergravity theories in $4\le D\le 11$ dimensions that are obtainable from $D=11$ supergravity by dimensional reduction. We first obtain the full bosonic Lagrangians for all these theories in a formalism adapted to the $p$-brane soliton construction. The solutions that we consider involve one dilaton field and one antisymmetric tensor field strength, which are in general linear combinations of the basic fields of the supergravity theories. We also study the supersymmetry properties of the solutions by calculating the eigenvalues of the Bogomol'nyi matrices, which are derived from the commutators of the supercharges. We give an exhaustive list of the supersymmetric $p$-brane solutions using field strengths of all degrees $n=4,3,2,1$, and the non-supersymmetric solutions for $n=4,3,2$. As well as studying elementary and solitonic solutions, we also discuss dyonic solutions in $D=6$ and $D=4$. In particular, we find that the Bogomol'nyi matrices for the supersymmetric massless dyonic solutions have indefinite signature.

31 pages, Latex, no figures

References in corpus (12)

• String Solitons
• Massless Black Holes and Conifolds in String Theory
• Evidence for Heterotic - Type I String Duality
• Four Dimensional String/String/String Triality
• Supersymmetric String Solitons
• Dyonic Membranes
• Massive String States as Extreme Black Holes
• Singular BPS Saturated States and Enhanced Symmetries of Four-Dimensional N=4 Supersymmetric String Vacua
• Exact Supersymmetric Massive and Massless White Holes
• Supersymmetry and Dual String Solitons
• Classical Dynamics of Macroscopic Strings
• A Comment on the Stability of String Monopoles

Cited by in corpus (135)

• Embedding AdS Black Holes in Ten and Eleven Dimensions
• Quintessence arising from exponential potentials
• Superstring Cosmology
• U-duality and M-Theory
• Dualisation of Dualities, I
• Superstring Scattering from D-Branes
• Black Holes and Solitons in String Theory
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• Anti-de Sitter Black Holes in Gauged N=8 Supergravity
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• The Black Branes of M-theory
• Fibre Bundles and Generalised Dimensional Reduction
• Cosmological Solutions in String Theories
• AdS_5 x S^5 Untwisted
• The Dynamics of Multi-Scalar Field Cosmological Models and Assisted Inflation
• Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
• Domain Walls in Massive Supergravities
• Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes
• Higher-dimensional Origin of D=3 Coset Symmetries
• R--R Scalars, U--Duality and Solvable Lie Algebras
• The Bekenstein Formula and String Theory (N-brane Theory)
• BPS Branes in Supergravity
• AdS_3 x S^3 (Un)twisted and Squashed, and an O(2,2;Z) Multiplet of Dyonic Strings
• On duality symmetries of supergravity invariants
• Flux Compactifications of M-Theory on Twisted Tori
• Solvable Lie Algebras in Type IIA, Type IIB and M Theories
• Euclidean-signature Supergravities, Dualities and Instantons
• A Non--Supersymmetric Dyonic Extreme Reissner--Nordström Black Hole
• From p-branes to Cosmology
• Liouville and Toda Solitons in M-theory
• The group theory of oxidation
• Trapped surfaces, horizons and exact solutions in higher dimensions
• Classical and Quantum Features of the Mixmaster Singularity
• Bound States of Black Holes and Other $P$-Branes
• The Heterotic Life of the D-particle
• Intersecting M-branes and bound states
• Hyperscaling violation from supergravity
• Multiple Intersections of D-branes and M-branes
• The group theory of oxidation II: Cosets of non-split groups
• Supersymmetric Domain Walls from Metrics of Special Holonomy
• Spacetimes of Boosted p-branes, and CFT in Infinite-momentum Frame
• Multiplet Structures of BPS Solitons
• Multi-scalar p-brane solitons
• Cosmological solutions, p-branes and the Wheeler-DeWitt equation
• Horava-Witten Stability: eppur si muove
• M-theory/heterotic Duality: a Kaluza-Klein Perspective
• Supersymmetric Black Holes in $N=8$ Supergravity
• Generalized Compactification and Assisted Dynamics of Multi--Scalar Field Cosmologies
• Towards a Field Theory of F-theory
• New angles on D-branes
• Vertical versus Diagonal Dimensional Reduction for p-branes
• Warped anti-de Sitter spaces from brane intersections in type II string theory
• Solitons in Brane Worlds
• M-theory and Gauged Supergravities
• Stretched horizons, quasiparticles and quasinormal modes
• Classification of p-branes, NUTs, Waves and Intersections
• SL(N+1,R) Toda Solitons in Supergravities
• Four curious supergravities
• Domain-wall Supergravities from Sphere Reduction
• Non-BPS Floating Branes and Bubbling Geometries
• Composite black holes in external fields
• Composite M-branes
• M-theory resolution of four-dimensional cosmological singularities via U-duality
• Non-threshold D-brane bound states and black holes with non-zero entropy
• Black Composite M-branes
• On Generalized Axion Reductions
• Black branes on the linear dilaton background
• Black p-branes and their Vertical Dimensional Reduction
• Super-Ehlers in Any Dimension
• Dualisation of the General Scalar Coset in Supergravity Theories
• Exact Embeddings of JT Gravity in Strings and M-theory
• Dilatonic dyon-like black hole solutions in the model with two Abelian gauge fields
• Black Holes, Moduli, and Long-Range Forces
• Interacting Intersections
• Revisiting Buchdahl transformations: New static and rotating black holes in vacuum, double copy, and hairy extensions
• SL(n,R)-Toda Black Holes
• U-Duality and the Compactified Gauss-Bonnet Term
• More on general $p$-brane solutions
• Dirac Quantisation Conditions and Kaluza-Klein Reduction
• String Theory: exact solutions, marginal deformations and hyperbolic spaces
• Exceptional Reductions
• Cyclical Behaviour in Early Universe Cosmologies
• Gauge Dyonic Strings and Their Global Limit
• Benchmarks on the brane
• Loop-corrected Entropy of Near-extremal Dilatonic $p$-branes
• Thirty years of Erice on the brane
• Conformal Symmetries for Extremal Black Holes with General Asymptotic Scalars in STU Supergravity
• Hermitian D-brane solutions
• Supergravity p-branes revisited: extra parameters, uniqueness, and topological censorship
• Decoupling Limit, Lens Spaces and Taub-NUT: D=4 Black Hole Microscopics from D=5 Black Holes
• Supergravity Brane Cosmologies
• A dilaton-axion model for string cosmology
• Dyonic branes and linear dilaton background
• A brief guide to p-branes
• From Topology to Generalised Dimensional Reduction
• Four $\mathbb{STU}$ Black Holes Shadows
• U-duality p-Branes in Diverse Dimensions
• Oxidation = group theory
• Holography and hydrodynamics for EMD theory with two Maxwell fields
• AdS Wormholes
• Mass of Dyonic Black Holes and Entropy Super-Additivity
• U-duality as General Coordinate Transformations, and Spacetime Geometry
• Brane Solutions with Tension
• Harmonic superpositions of non-extremal p-branes
• Dilatonic Domain Walls and Curved Intersecting Branes
• Hidden Borcherds symmetries in Z_n orbifolds of M-theory and magnetized D-branes in type 0' orientifolds
• Coset Symmetries in Dimensionally Reduced Heterotic Supergravity
• 4-string Junction and Its Network
• Gaussian null coordinates, near-horizon geometry and conserved charges on the horizon of extremal non-dilatonic black $p$-branes
• Three-block p-branes in various dimensions
• Gauge field corrections to 11-dimensional supergravity via dimensional reduction
• Dualities Compositeness and Spacetime Structure of 4d Extreme Stringy Black Holes
• Supercharges, Killing Spinors and Intersecting Gauge Five-branes
• D=9 supergravity and p-brane solitons
• Enhancement of hidden symmetries and Chern-Simons couplings
• GL(n,R) Wormholes and Waves in Diverse Dimensions
• Aspects of electric-magnetic dualities in maximal supergravity
• T-duality and U-duality in toroidally-compactified strings
• Phase structures of 4D stringy charged black holes in canonical ensemble
• Chern-Simons S-Brane Solutions in M-theory and Accelerating Cosmologies
• Most General Spherically Symmetric M2-branes and Type IIB Strings
• Intersecting Membranes from Charged Macroscopic Strings
• On effective field theory of F-theory beyond leading order
• Octonionic D=11 Supergravity and 'Octavian Integers' as Dilaton Vectors
• On generalized Melvin solutions for Lie algebras of rank 4
• Constructing more non-singular Sp-branes
• Global Space-time Symmetries Gauging and Kaluza-Klein Dimensional Reduction
• Super-Geometrodynamics in Higher Dimensions
• A thermodynamical model for non-extremal black p-brane
• Supergravity $p$-branes with scalar charge
• Toroidal AdS Charged Branes and Toda Equations
• Photon Sphere for a Dilatonic Dyonic Black Hole in a Model with an Abelian Gauge Field and a Scalar Field
• Nonsupersymmetric intersecting branes in supergravity
• Heterotic String Dynamics in the Solvable Lie Algebra Gauge
• Scaling Cosmologies from Duality Twisted Compactifications