Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities

Abstract

We consider two possible flat space limits of three dimensional $\mathcal{N}=(1,1)$ AdS supergravity. They differ by how the supercharges are scaled with the AdS radius $\ell$: the first limit (democratic) leads to the usual super-Poincare theory, while a novel `twisted' theory of supergravity stems from the second (despotic) limit. We then propose boundary conditions such that the asymptotic symmetry algebras at null infinity correspond to supersymmetric extensions of the BMS algebras previously derived in connection to non- and ultra-relativistic limits of the $\mathcal{N}=(1,1)$ Virasoro algebra in two dimensions. Finally, we study the supersymmetric energy bounds and find the explicit form of the asymptotic and global Killing spinors of supersymmetric solutions in both flat space supergravity theories.

arXiv comment22 pages, v2 version published in JHEP

References in corpus (29)

• The Black Hole in Three Dimensional Space Time
• Soft Hair on Black Holes
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• A New Cosmological Scenario in String Theory
• Supertranslations and Superrotations at the Black Hole Horizon
• Holography of 3d Flat Cosmological Horizons
• The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
• Asymptotic Structure of Symmetry Reduced General Relativity
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Supersymmetry of the 2+1 black holes
• GCA in 2d
• Global Charges in Chern-Simons theory and the 2+1 black hole
• Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional Extended AdS Supergravity
• Soft Heisenberg hair on black holes in three dimensions
• A Resolution of the Cosmological Singularity with Orientifolds
• On the null origin of the ambitwistor string
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Soft hairy horizons in three spacetime dimensions
• BMS Modules in Three Dimensions
• BMS invariance and the membrane paradigm
• Galilean Superconformal Symmetries
• Tensionless Superstrings: View from the Worldsheet
• Supersymmetric Extension of GCA in 2d
• Flat space (higher spin) gravity with chemical potentials
• Super Galilean conformal algebra in AdS/CFT
• Rotating Higher Spin Partition Functions and Extended BMS Symmetries
• Virasoro Orbits, AdS_3 Quantum Gravity and Entropy
• Three-dimensional Black Holes and Liouville Field Theory
• Unitarity in three-dimensional flat space higher spin theories

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• Carroll covariant scalar fields in two dimensions
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• Inhomogeneous Tensionless Superstrings
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• N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis
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• Spectral Flow in 3D Flat Spacetimes
• Celestial Holography: Lectures on Asymptotic Symmetries
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• Maximally $\mathcal{N}$-extended super-BMS${}_3$ algebras and Generalized 3D Gravity Solutions
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• Three-dimensional Poincaré supergravity and $\mathcal{N}$-extended supersymmetric BMS${}_3$ algebra
• BMS Characters and Modular Invariance
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• New N=2 SuperBMS${}_3$ algebra and Invariant Dual Theory for 3D Supergravity
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• Galilean contractions of $W$-algebras
• New boundary conditions for (extended) ${\mathrm{AdS}}_3$ supergravity
• Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity
• JT gravity from holographic reduction of 3D asymptotically flat spacetime
• BMS Modular Diaries: Torus one-point function
• Supersymmetrization of deformed BMS algebras
• Flatspace Chiral Supergravity
• Equivalent Dual Theories for 3D N=2 Supergravity
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Supersymmetric Galilean conformal blocks
• Semi-classical BMS-blocks from the Oscillator Construction
• Supersymmetric Carroll Galileons in Three Dimensions
• On the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal holographic dictionary
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
• Free-field construction of Carrollian $W_N$-algebras
• Carrollian superconformal theories and super BMS
• Asymptotic Symmetry and Classical holographic dual of $d{S}_3$ supergravity
• Supersymmetric, fermionic solutions in three-dimensional supergravity