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 Symmetries at null boundaries: two and three dimensional gravity cases

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
H. Adami ◽  
M.M. Sheikh-Jabbari ◽  
V. Taghiloo ◽  
H. Yavartanoo ◽  
C. Zwikel
Keyword(s):  
A Priori ◽  
Three Dimensional ◽  
Symmetry Algebra ◽  
State Dependence ◽  
Surface Charges ◽  
Full Generality ◽  
Codimension One ◽  
Null Surface ◽  
Dimensional Gravity ◽  
Symmetry Generators

Abstract We carry out in full generality and without fixing specific boundary conditions, the symmetry and charge analysis near a generic null surface for two and three dimensional (2d and 3d) gravity theories. In 2d and 3d there are respectively two and three charges which are generic functions over the codimension one null surface. The integrability of charges and their algebra depend on the state-dependence of symmetry generators which is a priori not specified. We establish the existence of infinitely many choices that render the surface charges integrable. We show that there is a choice, the “fundamental basis”, where the null boundary symmetry algebra is the Heisenberg⊕Diff(d − 2) algebra. We expect this result to be true for d > 3 when there is no Bondi news through the null surface.

THE CONFORMAL BOOTSTRAP AND SUPER W ALGEBRAS

1992 ◽  
Vol 07 (03) ◽  
pp. 591-617 ◽  
Author(s):  
JOSÉ M. FIGUEROA-O'FARRILL ◽  
STANY SCHRANS
Keyword(s):  
Systematic Study ◽  
Minimal Model ◽  
Central Charge ◽  
Virasoro Algebra ◽  
Symmetry Algebra ◽  
Modular Invariant ◽  
Conformal Bootstrap ◽  
Nonlinear Algebra

We undertake a systematic study of the possible extensions of the N = 1 super Virasoro algebra by a superprimary field of spin [Formula: see text]. Besides new extensions, which exist only for specific values of the central charge, we find a new nonlinear algebra (super W2) generated by a spin 2 superprimary which is associative for all values of the central charge. Furthermore, the spin 3 extension is argued to be the symmetry algebra of the m = 6 super Virasoro unitary minimal model, by exhibiting the (A7, D4)-type modular invariant as diagonal in terms of extended characters.

scholarly journals UNAVOIDABLE CONFLICT BETWEEN MASSIVE GRAVITY MODELS AND MASSIVE TOPOLOGICAL TERMS

2004 ◽  
Vol 19 (11) ◽  
pp. 817-826 ◽  
Author(s):  
ANTONIO ACCIOLY ◽  
MARCO DIAS
Keyword(s):  
Three Dimensional ◽  
Massive Gravity ◽  
Ricci Scalar ◽  
Gravity Models ◽  
Tree Level ◽  
Common Belief ◽  
Higher Derivative ◽  
The Common ◽  
Chern Simons ◽  
Topological Term

Massive gravity models in (2+1) dimensions, such as those obtained by adding to Einstein's gravity the usual Fierz–Pauli, or the more complicated Ricci scalar squared (R2), terms, are tree level unitary. Interesting enough these seemingly harmless systems have their unitarity spoiled when they are augmented by a Chern–Simons term. Furthermore, if the massive topological term is added to [Formula: see text] gravity, or to [Formula: see text] gravity (higher-derivative gravity), which are nonunitary at the tree level, the resulting models remain nonunitary. Therefore, unlike the common belief, as well as the claims in the literature, the coexistence between three-dimensional massive gravity models and massive topological terms is conflicting.

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 Quantum chaos in topologically massive gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yan Liu ◽  
Avinash Raju
Keyword(s):  
Shock Wave ◽  
Black Holes ◽  
High Temperature ◽  
Temperature Regime ◽  
Quantum Chaos ◽  
Massive Gravity ◽  
Partial Match ◽  
The Relationship ◽  
Chern Simons ◽  
Topologically Massive Gravity

Abstract We study quantum chaos of rotating BTZ black holes in Topologically Massive gravity (TMG). We discuss the relationship between chaos parameters including Lyapunov exponents and butterfly velocities from shock wave calculations of out-of-time-order correlators (OTOC) and from pole-skipping analysis. We find a partial match between pole-skipping and the OTOC results in the high temperature regime. We also find that the velocity bound puts a chaos constraint on the gravitational Chern-Simons coupling.

scholarly journals Null boundary phase space: slicings, news & memory

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
H. Adami ◽  
D. Grumiller ◽  
M. M. Sheikh-Jabbari ◽  
V. Taghiloo ◽  
H. Yavartanoo ◽  
...  
Keyword(s):  
Phase Space ◽  
Symmetry Algebra ◽  
Heisenberg Algebra ◽  
Einstein Gravity ◽  
Boundary Phase ◽  
Surface Charges ◽  
Direct Sum ◽  
Null Surface ◽  
Surface Expansion ◽  
Dimension One

Abstract We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface $$ \mathcal{N} $$ N as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of $$ \mathcal{N} $$ N and Weyl rescalings. It is generated by D towers of surface charges that are generic functions over $$ \mathcal{N} $$ N . These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through $$ \mathcal{N} $$ N . In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, $$ \mathcal{N} $$ N v for any fixed value of the advanced time v. Finally, we introduce null surface expansion- and spin-memories, and discuss associated memory effects that encode the passage of gravitational waves through $$ \mathcal{N} $$ N , imprinted in a change of the surface charges.

scholarly journals Partially massless theory in three dimensions and self-dual massive gravity

2018 ◽  
Vol 33 (12) ◽  
pp. 1850067 ◽  
Author(s):  
Daniel Galviz ◽  
Adel Khoudeir
Keyword(s):  
Scalar Field ◽  
Physical System ◽  
Higher Dimensions ◽  
Massive Gravity ◽  
Degree Of Freedom ◽  
The Self ◽  
Three Dimensions ◽  
Massless Theory ◽  
Chern Simons ◽  
Topologically Massive Gravity

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on (A)dS background. This fact can be generalized to higher dimensions. This degree of freedom is altered when a triadic Chern–Simons is introduced, giving rise to the self-dual massive gravity on (A)dS background. We present another physical system with partially massless symmetry and its connection with topologically massive gravity is discussed.

AdS3 Gravity and Holography

2021 ◽  
Author(s):  
Per Kraus
Keyword(s):  
Degrees Of Freedom ◽  
Central Charge ◽  
Virasoro Algebra ◽  
Symmetry Algebra ◽  
De Sitter ◽  
Conformal Field ◽  
Making Sense ◽  
Pure Gravity ◽  
Universal Properties ◽  
General Aspects

General relativity in three spacetime dimensions is a simplified model of gravity, possessing no local degrees of freedom, yet rich enough to admit black-hole solutions and other phenomena of interest. In the presence of a negative cosmological constant, the asymptotically anti–de Sitter (AdS) solutions admit a symmetry algebra consisting of two copies of the Virasoro algebra, with central charge inversely proportional to Newton’s constant. The study of this theory is greatly enriched by the AdS/CFT correspondence, which in this case implies a relationship to two-dimensional conformal field theory. General aspects of this theory can be understood by focusing on universal properties such as symmetries. The best understood examples of the AdS3/CFT2 correspondence arise from string theory constructions, in which case the gravity sector is accompanied by other propagating degrees of freedom. A question of recent interest is whether pure gravity can be made sense of as a quantum theory of gravity with a holographic dual. Attempting to answer this question requires making sense of the path integral over asymptotically AdS3 geometries.

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