Hidden supersymmetry of domain walls and cosmologies

Abstract

We show that all domain-wall solutions of gravity coupled to scalar fields for which the worldvolume geometry is Minkowski or anti-de Sitter admit Killing spinors, and satisfy corresponding first-order equations involving a superpotential determined by the solution. By analytic continuation, all flat or closed FLRW cosmologies are shown to satisfy similar first-order equations arising from the existence of ``pseudo-Killing'' spinors.

arXiv comment4 pages, v2:minor improvements, refs added, version to appear in PRL

References in corpus (10)

• Modeling the fifth dimension with scalars and gravity
• Gravitational Stability and Renormalization-Group Flow
• Fake Supergravity and Domain Wall Stability
• First-order formalism for bent brane
• First-order formalism and dark energy
• On the fakeness of fake supergravity
• Curved BPS domain wall solutions in four-dimensional N=2 supergravity
• Curved BPS domain wall solutions in five-dimensional gauged supergravity
• N=4 "Fake" Supergravity
• Dilaton Domain Walls and Dynamical Systems

Cited by in corpus (113)

• Exploring improved holographic theories for QCD: Part II
• Exploring improved holographic theories for QCD: Part I
• Holography for Cosmology
• Flow Equations for Non-BPS Extremal Black Holes
• Braneworld Models of Scalar Fields with Generalized Dynamics
• Holography for inflation using conformal perturbation theory
• Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes
• Three dimensional Janus and time-dependent black holes
• f(R)-Brane
• Gravity localization on thick branes: a numerical approach
• Glueballs vs. Gluinoballs: Fluctuation Spectra in Non-AdS/Non-CFT
• From Planck data to Planck era: Observational tests of Holographic Cosmology
• stu Black Holes Unveiled
• Holographic Non-Gaussianity
• Scalar fields, bent branes, and RG flow
• The Holographic Universe
• Hamilton-Jacobi method for Domain Walls and Cosmologies
• Degenerate and critical Bloch branes
• First-order flow equations for extremal and non-extremal black holes
• Special Geometry of Euclidean Supersymmetry III: the local r-map, instantons and black holes
• Renormalized entanglement entropy
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Stringy-Running-Vacuum-Model Inflation: from primordial Gravitational Waves and stiff Axion Matter to Dynamical Dark Energy
• New perspectives on constant-roll inflation
• Pseudo-supersymmetry and a Tale of Alternate Realities
• Duality, Entropy and ADM Mass in Supergravity
• Nonextremal black holes are BPS
• Domain-wall/Cosmology correspondence in adS/dS supergravity
• Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence
• A tale of two superpotentials: Stability and Instability in Designer Gravity
• Non-Supersymmetric Membrane Flows from Fake Supergravity and Multi-Trace Deformations
• First-order framework and domain-wall/brane-cosmology correspondence
• On the power spectrum of inflationary cosmologies dual to a deformed CFT
• A first-order formalism for timelike and spacelike brane solutions
• HKT Geometry and de Sitter Supergravity
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• Supersymmetric Domain Walls
• Fake supersymmetry versus Hamilton-Jacobi
• Inflation and deformation of conformal field theory
• The gauged BPS baby Skyrme model
• Constraints on holographic multi-field inflation and models based on the Hamilton-Jacobi formalism
• Supersymmetric extensions of k-field models
• Multi-field inflation from holography
• $\delta N$ formalism from superpotential and holography
• Twinlike models for kinks and compactons in flat and warped spacetime
• Renormalisation of IR divergences and holography in de Sitter
• The First-Order Euler-Lagrange equations and some of their uses
• Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry
• Higher derivative effects for 4d AdS gravity
• Identifying Universality in Warm Inflation
• Fractional branes, warped compactifications and backreacted orientifold planes
• Constraining holographic inflation with WMAP
• From Fake Supergravity to Superstars
• First-order formalism for dark energy and dust
• Scaling cosmologies, geodesic motion and pseudo-susy
• Black Hole Thermodynamics with Dynamical Lambda
• Constraining holographic cosmology using Planck data
• Multi-sine-Gordon Models
• The a-theorem and conformal symmetry breaking in holographic RG flows
• Dual of Big-bang and Big-crunch
• Braneworld solutions from scalar field in bimetric theory
• Cosmological solutions from fake N=2 EYM supergravity
• A simple, exact, model of quasi-single field inflation
• Cosmological rotating black holes in five-dimensional fake supergravity
• Axion-Dilaton Domain Walls and Fake Supergravity
• Janus within Janus
• Holography for the very early Universe and the classic puzzles of Hot Big Bang cosmology
• Exact cosmological solutions of models with an interacting dark sector
• On multi-field flows in gravity and holography
• IDEAL characterization of isometry classes of FLRW and inflationary spacetimes
• Non-Holomorphic Cycles and Non-BPS Black Branes
• Domain walls in three dimensional gauged supergravity
• Melvin Magnetic Fluxtube/Cosmology Correspondence
• Massive 3D Gravity Big-Bounce
• FRW cosmologies and hyperscaling-violating geometries: higher curvature corrections, ultrametricity, Q-space/QFT duality, and a little string theory
• Impact of Lorentz violation on the dynamics of inflation
• An Hamilton-Jacobi formulation of anisotropic inflation
• Hybrid Bloch Brane
• Einstein Branes
• First order formalism for the holographic duals of defect CFTs
• Holographic realization of gauge mediated supersymmetry breaking
• Null Deformed Domain Wall
• Inflationary Twin Models
• Lifshitz field theories with SDiff symmetries
• Holography for a Non-Inflationary Early Universe
• Supersymmetric domain walls in 7D maximal gauged supergravity
• Comments on fake supersymmetry
• Holographic cosmology solutions of problems with pre-inflationary cosmology
• An exactly solvable inflationary model
• 1/2-BPS Domain wall from N=10 three dimensional gauged supergravity
• Dark Energy from holographic theories with hyperscaling violation
• Supersymmetric domain walls in maximal 6D gauged supergravity I
• Domain walls in Horndeski gravity
• Inflation as de Sitter instability
• Hidden Structures of Black Holes
• Generalized surface tension bounds in vacuum decay
• Brane solutions sourced by a scalar with vanishing potential and classification of scalar branes
• Effective long distance $q\bar{q}$ potential in holographic RG flows
• New exact solutions in multi-scalar field cosmology
• From Wave Geometry to Fake Supergravity
• Supersymmetric domain walls in maximal 6D gauged supergravity II
• Constant-roll warm inflation and the $\beta$-function approach
• Conformal Scale Factor Inversion for Domain Walls and Holography
• Attractor Flows in st^2 Black Holes
• Supersymmetric domain walls in maximal 6D gauged supergravity III
• Scalar field models driven by Dirac-Born-Infeld dynamics and their relatives
• Brane structure from a scalar field in general covariant Horava-Lifshitz gravity
• Cosmological solutions from 4D $N=4$ matter-coupled supergravity
• Back-reaction in massless de Sitter QFTs: holography, gravitational DBI action and f(R) gravity
• Killing Spinors -- Beyond Supergravity
• Domain Walls in AdS-Einstein-scalar Gravity
• Massive holographic QFTs in de Sitter
• Black holes, first-order flow equations and geodesics on symmetric spaces