On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

Abstract

In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method. The super-$BM{S}_3$, the superconformal algebra and new infinite-dimensional superalgebras are obtained by expanding the super-Virasoro algebra. The new superalgebras obtained are supersymmetric extensions of the asymptotic algebras of the Maxwell and the $\mathfrak{so}(2,2)\oplus \mathfrak{so}(2,1)$ gravity theories. We extend our results to the $\mathcal{N}=2$ and $\mathcal{N}=4$ cases and find that R-symmetry generators are required. We also show that the new infinite-dimensional structures are related through a flat limit $\ell \to \infty$.

arXiv commentV2, 40 pages, Accepted version in European Physical Journal C

References in corpus (85)

• Aspects of the BMS/CFT correspondence
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Asymptotic Structure of Symmetry Reduced General Relativity
• Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
• Higher spin theory in 3-dimensional flat space
• Expanding Lie (super)algebras through abelian semigroups
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Standard General Relativity from Chern-Simons Gravity
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Wess-Zumino term for the AdS superstring and generalized Inonu-Wigner contraction
• Maxwell Superalgebra and Superparticle in Constant Gauge Backgrounds
• Tensor extension of the Poincaré algebra
• Generalized cosmological term from Maxwell symmetries
• Expansions of algebras and superalgebras and some applications
• A Grassmann Path From AdS_3 to Flat Space
• Deformations of Maxwell algebra and their Dynamical Realizations
• Topological gravity and transgression holography
• 2 + 1 dimensional gravity from Maxwell and semi-simple extension of the Poincare gauge symmetric models
• Gauged AdS-Maxwell algebra and gravity
• Even-dimensional General Relativity from Born-Infeld gravity
• Chern-Simons and Born-Infeld gravity theories and Maxwell algebras type
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Generating infinite-dimensional algebras from loop algebras by expanding Maurer Cartan forms
• A generalized action for $\left(2+1\right)$-dimensional Chern--Simons gravity
• Semi-simple extension of the (super)Poincaré algebra
• Supersymmetric Extension of Galilean Conformal Algebras
• Non-Relativistic Maxwell Chern-Simons Gravity
• Lie Algebra Expansions and Actions for Non-Relativistic Gravity
• N=1 Supergravity and Maxwell superalgebras
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra
• Supersymmetric Extension of GCA in 2d
• Extensions, expansions, Lie algebra cohomology and enlarged superspaces
• Maxwell Superalgebras and Abelian Semigroup Expansion
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Pure Lovelock gravity and Chern-Simons theory
• Generalized Poincare algebras and Lovelock-Cartan gravity theory
• On free Lie algebras and particles in electro-magnetic fields
• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• On the Maxwell supergravity and flat limit in 2+1 dimensions
• Generalizing the ${\mathfrak{bms}}_3$ and 2D-conformal algebras by expanding the Virasoro algebra
• Hidden Role of Maxwell Superalgebras in the Free Differential Algebras of D=4 and D=11 Supergravity
• Deformations of Maxwell Superalgebras and Their Applications
• Generalizations of Maxwell (super)algebras by the expansion method
• Asymptotically flat structure of hypergravity in three spacetime dimensions
• Minimal D=4 supergravity from the superMaxwell algebra
• Chern-Simons Supergravity in D=3 and Maxwell superalgebra
• Non-relativistic symmetries in three space-time dimensions and the Nappi-Witten algebra
• Extended $D=3$ Bargmann supergravity from a Lie algebra expansion
• Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra
• On the Hidden Maxwell Superalgebra underlying D=4 Supergravity
• Minimal AdS-Lorentz supergravity in three-dimensions
• General properties of the expansion methods of Lie algebras
• Lovelock gravities from Born-Infeld gravity theory
• Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space
• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• Generalized Pure Lovelock Gravity
• N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis
• Spectral Flow in 3D Flat Spacetimes
• BMS4 Algebra, Its Stability and Deformations
• Maxwell symmetries and some applications
• Extended Superconformal Algebras on AdS_{3}
• Free-field realisations of the BMS${}_3$ algebra and its extensions
• Boundary dynamics of asymptotically flat 3D gravity coupled to higher spin fields
• Bianchi spaces and their 3-dimensional isometries as S-expansions of 2-dimensional isometries
• Generalized supersymmetric cosmological term in N=1 Supergravity
• Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?
• Maximally $\mathcal{N}$-extended super-BMS${}_3$ algebras and Generalized 3D Gravity Solutions
• Inönü-Wigner Contraction and $D=2+1$ Supergravity
• On the supersymmetry invariance of flat supergravity with boundary
• Three-dimensional Poincaré supergravity and $\mathcal{N}$-extended supersymmetric BMS${}_3$ algebra
• On the Supersymmetric Extension of Gauss-Bonnet like Gravity
• Semi-simple enlargement of the ${\mathfrak{bms}}_3$ algebra from a $\mathfrak{so}(2,2)\oplus \mathfrak{so}(2,1)$ Chern-Simons theory
• Super-GCA from $\mathcal{N}=(2,2)$ Super-Virasoro
• $D=4$ topological gravity from gauging the Maxwell-special-affine group
• Maxwell-affine gauge theory of gravity
• New spinorial particle model in tensorial space-time and interacting higher spin fields
• Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
• An Analytic Method for $S$-Expansion involving Resonance and Reduction
• Generalized AdS-Lorentz deformed supergravity on a manifold with boundary
• Enhanced asymptotic $BM{S}_3$ algebra of the flat spacetime solutions of generalized minimal massive gravity
• S-Expansion of Higher-Order Lie Algebras
• Generating Higher-Order Lie Algebras by Expanding Maurer Cartan Forms
• Symmetries of M-theory and free Lie superalgebras
• Resonant algebras in Chern-Simons model of topological insulators

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• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
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• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity
• Three-dimensional Newtonian gravity with cosmological constant and torsion
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
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• Three-dimensional non-relativistic Hietarinta supergravity
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