scholarly journals Warped flatland

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Stéphane Detournay ◽  
Wout Merbis ◽  
Gim Seng Ng ◽  
Raphaela Wutte
Keyword(s):  
Causal Structure ◽  
Scaling Limit ◽  
Three Dimensional ◽  
Massive Gravity ◽  
Current Level ◽  
Asymptotic Symmetry ◽  
Positive Cosmological Constant ◽  
Flat Spacetime ◽  
Poincaré Algebra ◽  
Topologically Massive Gravity

Abstract We study warped flat geometries in three-dimensional topologically massive gravity. They are quotients of global warped flat spacetime, whose isometries are given by the 2-dimensional centrally extended Poincaré algebra. The latter can be obtained as a certain scaling limit of Warped AdS3 space with a positive cosmological constant. We discuss the causal structure of the resulting spacetimes using projection diagrams. We study their charges and thermodynamics, together with asymptotic Killing vectors preserving a consistent set of boundary conditions including them. The asymptotic symmetry group is given by a Warped CFT algebra, with a vanishing current level. A generalization of the derivation of the Warped CFT Cardy formula applies in this case, reproducing the entropy of the warped flat cosmological spacetimes.

scholarly journals Massive double copy in three spacetime dimensions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Mariana Carrillo González ◽  
Arshia Momeni ◽  
Justinas Rumbutis
Keyword(s):  
Scattering Amplitudes ◽  
Three Dimensional ◽  
Massive Gravity ◽  
Gauge Fields ◽  
Yang Mills ◽  
Double Copy ◽  
Topologically Massive Gravity

Abstract Recent explorations on how to construct a double copy of massive gauge fields have shown that, while any amplitude can be written in a form consistent with colour-kinematics duality, the double copy is generically unphysical. In this paper, we explore a new direction in which we can obtain a sensible double copy of massive gauge fields due to the special kinematics in three-dimensional spacetimes. To avoid the appearance of spurious poles at 5-points, we only require that the scattering amplitudes satisfy one BCJ relation. We show that the amplitudes of Topologically Massive Yang-Mills satisfy this relation and that their double copy at three, four, and five-points is Topologically Massive Gravity.

scholarly journals Chiral massive news: null boundary symmetries in topologically massive gravity

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
H. Adami ◽  
M.M. Sheikh-Jabbari ◽  
V. Taghiloo ◽  
H. Yavartanoo ◽  
C. Zwikel
Keyword(s):  
Central Charge ◽  
Three Dimensional ◽  
Virasoro Algebra ◽  
Symmetry Algebra ◽  
Massive Gravity ◽  
Surface Charges ◽  
Null Surface ◽  
Independent Functions ◽  
Chern Simons ◽  
Topologically Massive Gravity

Abstract We study surface charges on a generic null boundary in three dimensional topological massive gravity (TMG). We construct the solution phase space which involves four independent functions over the two dimensional null boundary. One of these functions corresponds to the massive chiral propagating graviton mode of TMG. The other three correspond to three surface charges of the theory, two of which can always be made integrable, while the last one can become integrable only in the absence of the chiral massive graviton flux through the null boundary. As the null boundary symmetry algebra we obtain Heisenberg ⊕ Virasoro algebra with a central charge proportional to the gravitational Chern-Simons term of TMG. We also discuss that the flux of the chiral massive gravitons appears as the (Bondi) news through the null surface.

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 Thurston Geometries in Three-Dimensional New Massive Gravity

2021 ◽  
Vol 127 (6) ◽  
Author(s):  
Daniel Flores-Alfonso ◽  
Cesar S. Lopez-Monsalvo ◽  
Marco Maceda
Keyword(s):  
Three Dimensional ◽  
Massive Gravity ◽  
Thurston Geometries

scholarly journals Colourful Poincaré symmetry, gravity and particle actions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Joaquim Gomis ◽  
Euihun Joung ◽  
Axel Kleinschmidt ◽  
Karapet Mkrtchyan
Keyword(s):  
Field Theory ◽  
Free Particle ◽  
Three Dimensional ◽  
Background Field ◽  
Quantum Field ◽  
Symmetry Factor ◽  
Starting Point ◽  
Poincaré Algebra ◽  
Poincaré Symmetry ◽  
Three Space

Abstract We construct a generalisation of the three-dimensional Poincaré algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincaré gravity in three space-time dimensions as well as to study generalisations of massive and massless free particle models. We present various such generalised particle models that differ in which orbits of the coloured Poincaré symmetry are described. Our approach can be seen as a stepping stone towards the description of particles interacting with a non-abelian background field or as a starting point for a worldline formulation of an associated quantum field theory.

Sign in / Sign up

Export Citation Format

Share Document