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.

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

References in corpus (1)

• First-order formalism for bent brane

Cited by in corpus (56)

• Exploring improved holographic theories for QCD: Part II
• Braneworld Models of Scalar Fields with Generalized Dynamics
• 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
• Holographic Non-Gaussianity
• Scalar fields, bent branes, and RG flow
• 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
• 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
• Pseudo-supersymmetry and a Tale of Alternate Realities
• Nonextremal black holes are BPS
• Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence
• First-order framework and domain-wall/brane-cosmology correspondence
• HKT Geometry and de Sitter Supergravity
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• Multi-field inflation from 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
• 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
• The a-theorem and conformal symmetry breaking in holographic RG flows
• Braneworld solutions from scalar field in bimetric theory
• Dual of Big-bang and Big-crunch
• Cosmological rotating black holes in five-dimensional fake supergravity
• Axion-Dilaton Domain Walls and Fake Supergravity
• Janus within Janus
• Non-Holomorphic Cycles and Non-BPS Black Branes
• Domain walls in three dimensional gauged supergravity
• Hybrid Bloch Brane
• Holography for a Non-Inflationary Early Universe
• Holographic cosmology solutions of problems with pre-inflationary cosmology
• An exactly solvable inflationary model
• Domain walls in Horndeski gravity
• Supersymmetric domain walls in maximal 6D gauged supergravity I
• Effective long distance $q\bar{q}$ potential in holographic RG flows
• Hidden Structures of Black Holes
• 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
• Supersymmetric domain walls in maximal 6D gauged supergravity III
• Brane structure from a scalar field in general covariant Horava-Lifshitz gravity
• Cosmological solutions from 4D $N=4$ matter-coupled supergravity
• Scalar field models driven by Dirac-Born-Infeld dynamics and their relatives
• Killing Spinors -- Beyond Supergravity
• Black holes, first-order flow equations and geodesics on symmetric spaces
• Massive holographic QFTs in de Sitter