Generalizing the ${\mathfrak{bms}}_3$ and 2D-conformal algebras by expanding the Virasoro algebra

Abstract

By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the ${\mathfrak{bms}}_3$ algebra are obtained from the Virasoro algebra. We extend this result to construct new families of expanded Virasoro algebras that turn out to be infinite dimensional lifts of the so-called ${\mathfrak{B}}_k$, ${\mathfrak{C}}_k$ and ${\mathfrak{D}}_k$ algebras recently introduced in the literature in the context of (super)gravity. We also show how some of these new infinite-dimensional symmetries can be obtained from expanded Kač-Moody algebras using modified Sugawara constructions. Applications in the context of three-dimensional gravity are briefly discussed.

v4, 29 pages, Published version

References in corpus (17)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Expanding Lie (super)algebras through abelian semigroups
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Generalized cosmological term from Maxwell symmetries
• Expansions of algebras and superalgebras and some applications
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• N=1 Supergravity and Maxwell superalgebras
• Maxwell Superalgebras and Abelian Semigroup Expansion
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Generalized Poincare algebras and Lovelock-Cartan gravity theory
• Deformations of Maxwell Superalgebras and Their Applications
• Aspects of Flat/CCFT Correspondence
• Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space
• Inönü-Wigner Contraction and $D=2+1$ Supergravity
• Canonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry
• On the Supersymmetric Extension of Gauss-Bonnet like Gravity
• Rindler/Contracted-CFT Correspondence

Cited by in corpus (36)

• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra
• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• On the Maxwell supergravity and flat limit in 2+1 dimensions
• Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra
• Three-dimensional Maxwellian extended Bargmann supergravity
• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• BMS4 Algebra, Its Stability and Deformations
• Non-relativistic three-dimensional supergravity theories and semigroup expansion method
• Galilean free Lie algebras
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• The (super)conformal BMS${}_3$ algebra
• Three-dimensional Poincaré supergravity and $\mathcal{N}$-extended supersymmetric BMS${}_3$ algebra
• Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• Three-dimensional exotic Newtonian supergravity theory with cosmological constant
• Semi-simple enlargement of the ${\mathfrak{bms}}_3$ algebra from a $\mathfrak{so}(2,2)\oplus \mathfrak{so}(2,1)$ Chern-Simons theory
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements
• Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Non-Lorentzian Kač-Moody Algebras
• Three-dimensional Newtonian gravity with cosmological constant and torsion
• On Stabilization of Maxwell-BMS Algebra
• Higher-order Galilean contractions
• Local derivations on the Lie algebra $W(2,2)$
• Multi-graded Galilean conformal algebras
• Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs
• Hietarinta Chern-Simons supergravity and its asymptotic structure
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• AdS${}_3$ Carroll gravity: asymptotic symmetries and C-thermal configurations
• Asymmetric Galilean conformal algebras
• Contractions from Grading
• Boson-fermion algebraic mapping in second quantization
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion