Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes

DOI10.1007/JHEP08(2019)119zbMath1421.83031arXiv1905.00034WikidataQ127341585 ScholiaQ127341585MaRDI QIDQ2273463

Stefan Prohazka, Ross Grassie, José M. Figueroa-O'Farrill

Publication date: 23 September 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00034

zbMATH Keywords

differential and algebraic geometryspace-time symmetries

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Gravitational energy and conservation laws; groups of motions (83C40) Lie algebras of linear algebraic groups (17B45)

Related Items (18)

Carrollian manifolds and null infinity: a view from Cartan geometry ⋮ Non-lorentzian spacetimes ⋮ \(\mathcal{N}\)-extended Chern-Simons Carrollian supergravities in 2 + 1 spacetime dimensions ⋮ Possible ambient kinematics ⋮ The shadow formalism of Galilean \(\mathrm{CFT}_2\) ⋮ Carrollian and celestial spaces at infinity ⋮ Asymptotic symmetries in Carrollian theories of gravity with a negative cosmological constant ⋮ The gauging procedure and Carrollian gravity ⋮ Some useful operators on differential forms on Galilean and Carrollian spacetimes ⋮ From pp-waves to Galilean spacetimes ⋮ Galilean and Carrollian Hodge star operators ⋮ Lie algebra expansion and integrability in superstring sigma-models ⋮ Spatially isotropic homogeneous spacetimes ⋮ The effective action of superrotation modes ⋮ Kinematical superspaces ⋮ Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension ⋮ Asymptotic symmetries in Carrollian theories of gravity ⋮ Lie algebra expansions, non-relativistic matter multiplets and actions

Cites Work

• Unnamed Item
• On the exponentiality of affine symmetric spaces
• Aging and holography
• Spatially isotropic homogeneous spacetimes
• Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity
• Null infinity, the BMS group and infrared issues
• Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence
• The large-\(N\) limit of superconformal field theories and supergravity
• Lie algebra expansions and actions for non-relativistic gravity
• Two-dimensional fluids and their holographic duals
• Field theories with conformal Carrollian symmetry
• Three-dimensional extended Newtonian (super)gravity
• Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension
• On rigidity of 3d asymptotic symmetry algebras
• Aspects of the BMS/CFT correspondence
• Connections and dynamical trajectories in generalised Newton-Cartan gravity I. An intrinsic view
• Conformal Carroll groups
• Strongly Exponential Symmetric Spaces
• The symmetries of the Carroll superparticle
• Homogeneous nonrelativistic geometries as coset spaces
• Schrödinger manifolds
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Non-relativistic conformal symmetries and Newton–Cartan structures
• Classification of ten-dimensional kinematical groups with space isotropy
• Kinematical Lie algebras via deformation theory
• Higher-dimensional kinematical Lie algebras via deformation theory
• Kinematical lie algebras in 2 + 1 dimensions
• Lectures on the Infrared Structure of Gravity and Gauge Theory
• Gravity between Newton and Einstein
• Conformal Carroll groups and BMS symmetry
• Embedding Galilean and Carrollian geometries. I. Gravitational waves
• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Possible Kinematics
• Asymptotic Symmetries in Gravitational Theory
• Invariant Affine Connections on Homogeneous Spaces

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