scholarly journals Enhanced asymptotic symmetry algebra of AdS 3

2013 ◽  
Vol 2013 (8) ◽  
Author(s):  
Cédric Troessaert
Keyword(s):  
Symmetry Algebra ◽  
Asymptotic Symmetry

scholarly journals Canonical charges and asymptotic symmetry algebra of conformal gravity

2015 ◽  
Vol 91 (10) ◽  
Author(s):  
Maria Irakleidou ◽  
Iva Lovrekovic ◽  
Florian Preis
Keyword(s):  
Symmetry Algebra ◽  
Conformal Gravity ◽  
Asymptotic Symmetry

scholarly journals Exploring new boundary conditions for $$\mathcal {N}=(1,1)$$ extended higher-spin $$AdS_3$$ supergravity

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
H. T. Özer ◽  
Aytül Filiz
Keyword(s):  
Boundary Conditions ◽  
Symmetry Algebra ◽  
General Boundary ◽  
Gauge Fields ◽  
General Boundary Conditions ◽  
Asymptotic Symmetry ◽  
Affine Algebra ◽  
Supersymmetric Extension ◽  
Higher Spin

AbstractIn this paper, we present a candidate for $$\mathcal {N}=(1,1)$$ N = ( 1 , 1 ) extended higher-spin $$AdS_3$$ A d S 3 supergravity with the most general boundary conditions discussed by Grumiller and Riegler recently. We show that the asymptotic symmetry algebra consists of two copies of the $$\mathfrak {osp}(3|2)_k$$ osp ( 3 | 2 ) k affine algebra in the presence of the most general boundary conditions. Furthermore, we impose some certain restrictions on gauge fields on the most general boundary conditions and that leads us to the supersymmetric extension of the Brown–Henneaux boundary conditions. We eventually see that the asymptotic symmetry algebra reduces to two copies of the $$\mathcal {SW}(\frac{3}{2},2)$$ SW ( 3 2 , 2 ) algebra for $$\mathcal {N}=(1,1)$$ N = ( 1 , 1 ) extended higher-spin supergravity.

scholarly journals Extensions of the asymptotic symmetry algebra of general relativity

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Éanna É. Flanagan ◽  
Kartik Prabhu ◽  
Ibrahim Shehzad
Keyword(s):  
General Relativity ◽  
Symmetry Algebra ◽  
Asymptotic Symmetry

scholarly journals Asymptotic symmetries in Carrollian theories of gravity

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Alfredo Pérez
Keyword(s):  
General Relativity ◽  
Symmetry Algebra ◽  
Einstein Gravity ◽  
Point Of View ◽  
Asymptotic Symmetry ◽  
Gravitational Theories ◽  
Theories Of Gravity ◽  
Spatial Rotations ◽  
Lapse Function ◽  
Asymptotic Symmetries

Abstract Asymptotic symmetries in Carrollian gravitational theories in 3+1 space and time dimensions obtained from “magnetic” and “electric” ultrarelativistic contractions of General Relativity are analyzed. In both cases, parity conditions are needed to guarantee a finite symplectic term, in analogy with Einstein gravity. For the magnetic contraction, when Regge-Teitelboim parity conditions are imposed, the asymptotic symmetries are described by the Carroll group. With Henneaux-Troessaert parity conditions, the asymptotic symmetry algebra corresponds to a BMS-like extension of the Carroll algebra. For the electric contraction, because the lapse function does not appear in the boundary term needed to ensure a well-defined action principle, the asymptotic symmetry algebra is truncated, for Regge-Teitelboim parity conditions, to the semidirect sum of spatial rotations and spatial translations. Similarly, with Henneaux-Troessaert parity conditions, the asymptotic symmetries are given by the semidirect sum of spatial rotations and an infinite number of parity odd supertranslations. Thus, from the point of view of the asymptotic symmetries, the magnetic contraction can be seen as a smooth limit of General Relativity, in contrast to its electric counterpart.

scholarly journals Extended super BMS algebra of celestial CFT

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Angelos Fotopoulos ◽  
Stephan Stieberger ◽  
Tomasz R. Taylor ◽  
Bin Zhu
Keyword(s):  
Energy Momentum Tensor ◽  
Symmetry Algebra ◽  
Momentum Tensor ◽  
Wave Functions ◽  
Primary Wave ◽  
Asymptotic Symmetry ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Conformal Field ◽  
Super Symmetry

Abstract We study two-dimensional celestial conformal field theory describing four- dimensional $$ \mathcal{N} $$ N =1 supergravity/Yang-Mills systems and show that the underlying symmetry is a supersymmetric generalization of BMS symmetry. We construct fermionic conformal primary wave functions and show how they are related via supersymmetry to their bosonic partners. We use soft and collinear theorems of supersymmetric Einstein-Yang- Mills theory to derive the OPEs of the operators associated to massless particles. The bosonic and fermionic soft theorems are shown to form a sequence under supersymmetric Ward identities. In analogy with the energy momentum tensor, the supercurrents are shadow transforms of soft gravitino operators and generate an infinite-dimensional super- symmetry algebra. The algebra of $$ {\mathfrak{sbms}}_4 $$ sbms 4 generators agrees with the expectations based on earlier work on the asymptotic symmetry group of supergravity. We also show that the supertranslation operator can be written as a product of holomorphic and anti-holomorphic supercurrents.

scholarly journals Asymptotic symmetry algebra of conformal gravity

2017 ◽  
Vol 96 (10) ◽  
Author(s):  
Maria Irakleidou ◽  
Iva Lovrekovic
Keyword(s):  
Symmetry Algebra ◽  
Conformal Gravity ◽  
Asymptotic Symmetry

scholarly journals Charge algebra in Al(A)dSn spacetimes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Adrien Fiorucci ◽  
Romain Ruzziconi
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Three Dimensional ◽  
Dirichlet Boundary Conditions ◽  
Boundary Structure ◽  
Asymptotic Symmetry ◽  
Renormalization Procedure ◽  
Field Dependent ◽  
Odd Dimensions

Abstract The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in n dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the minimal falloffs for conformal compactification. In particular, the boundary structure is allowed to fluctuate and plays the role of source yielding some symplectic flux at the boundary. Using the holographic renormalization procedure, the divergences are removed from the symplectic structure, which leads to finite expressions. The charges associated with boundary diffeomorphisms are generically non-vanishing, non-integrable and not conserved, while those associated with boundary Weyl rescalings are non-vanishing only in odd dimensions due to the presence of Weyl anomalies in the dual theory. The charge algebra exhibits a field-dependent 2-cocycle in odd dimensions. When the general framework is restricted to three-dimensional asymptotically AdS spacetimes with Dirichlet boundary conditions, the 2-cocycle reduces to the Brown-Henneaux central extension. The analysis is also specified to leaky boundary conditions in asymptotically locally (A)dS spacetimes that lead to the Λ-BMS asymptotic symmetry group. In the flat limit, the latter contracts into the BMS group in n dimensions.

scholarly journals Asymptotic symmetries and celestial CFT

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Laura Donnay ◽  
Sabrina Pasterski ◽  
Andrea Puhm
Keyword(s):  
Principal Series ◽  
Finite Energy ◽  
Continuous Series ◽  
Asymptotic Symmetry ◽  
Null Infinity ◽  
Conformal Dimension ◽  
Contour Integrals ◽  
Celestial Sphere ◽  
Goldstone Modes ◽  
Asymptotic Symmetries

Abstract We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension ∆. This effort lands us at the crossroads of two ongoing debates about what the appropriate conformal basis for celestial CFT is and what the asymptotic symmetry group of Einstein gravity at null infinity should be. Finite energy wavefunctions are captured by the principal continuous series ∆ ∈ 1 + iℝ and form a complete basis. We show that conformal primaries with analytically continued conformal dimension can be understood as certain contour integrals on the principal series. This clarifies how conformally soft Goldstone modes fit in but do not augment this basis. Conformally soft gravitons of dimension two and zero which are related by a shadow transform are shown to generate superrotations and non-meromorphic diffeomorphisms of the celestial sphere which we refer to as shadow superrotations. This dovetails the Virasoro and Diff(S2) asymptotic symmetry proposals and puts on equal footing the discussion of their associated soft charges, which correspond to the stress tensor and its shadow in the two-dimensional celestial CFT.

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