scholarly journals Enhanced asymptotic symmetry algebra of(2+1)-dimensional flat space

2017 ◽  
Vol 95 (4) ◽  
Author(s):  
Stéphane Detournay ◽  
Max Riegler
Keyword(s):  
Symmetry Algebra ◽  
Flat Space ◽  
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 Flat space holography in spin-2 extended dilaton-gravity

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Hamid Afshar ◽  
Erfan Esmaeili ◽  
H. R. Safari
Keyword(s):  
Black Holes ◽  
Gauge Theory ◽  
Central Element ◽  
Flat Space ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Asymptotic Symmetry ◽  
Coadjoint Action ◽  
Flat Spacetime ◽  
Thermodynamics Of Black Holes

Abstract We present an interacting spin-2 gauge theory coupled to the two-dimensional dilaton-gravity in flat spacetime. The asymptotic symmetry group is enhanced to the central extension of Diff(S1)⋉C∞(S1)⋉Vec(S1) when the central element of the Heisenberg subgroup is zero (vanishing U(1) level). Using the BF-formulation of the model we derive the corresponding boundary coadjoint action which is the spin-2 extension of the warped Schwarzian theory at vanishing U(1) level. We also discuss the thermodynamics of black holes in this model.

scholarly journals New boundary conditions for AdS2

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Victor Godet ◽  
Charles Marteau
Keyword(s):  
Boundary Conditions ◽  
Path Integral ◽  
Flat Space ◽  
Low Energy ◽  
Asymptotic Symmetry ◽  
Coadjoint Action ◽  
Matrix Ensemble ◽  
Virasoro Group ◽  
Random Matrix Ensemble ◽  
Extremal Black Holes

Abstract We describe new boundary conditions for AdS2 in Jackiw-Teitelboim gravity. The asymptotic symmetry group is enhanced to Diff(S1) ⋉ C∞(S1) whose breaking to SL(2, ℝ) × U(1) controls the near-AdS2 dynamics. The action reduces to a boundary term which is a generalization of the Schwarzian theory and can be interpreted as the coadjoint action of the warped Virasoro group. This theory reproduces the low-energy effective action of the complex SYK model. We compute the Euclidean path integral and derive its relation to the random matrix ensemble of Saad, Shenker and Stanford. We study the flat space version of this action, and show that the corresponding path integral also gives an ensemble average, but of a much simpler nature. We explore some applications to near-extremal black holes.

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
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