GCA in 2d

Bagchi, Arjun; Gopakumar, Rajesh; Mandal, Ipsita; Miwa, Akitsugu

doi:10.1007/jhep08(2010)004

Cited by 179 publications

(323 citation statements)

References 47 publications

Supporting

Mentioning

311

Contrasting

Order By: Relevance

“…By analyzing null vectors following [20] we substantiate now this claim. Like in usual 2D CFTs, null states in the GCA representations are states which are orthogonal to all states including themselves.…”

supporting

confidence: 61%

Flat-Space Chiral Gravity

2012

Self Cite

View full text Add to dashboard Cite

We provide the first evidence for a holographic correspondence between a gravitational theory in flat space and a specific unitary field theory in one dimension lower. The gravitational theory is a flat-space limit of topologically massive gravity in three dimensions at Chern-Simons level k=1. The field theory is a chiral two-dimensional conformal field theory with central charge c=24.Comment: 5 pages, v2: minor rearrangement

show abstract

supporting

confidence: 61%

Flat-Space Chiral Gravity

2012

Self Cite

View full text Add to dashboard Cite

show abstract

“…We define the energy-momentum tensor of flat-space ,T ij , by 12) JHEP03 (2014)005 where light-cone coordinates for flat spacetime,x ± , are given byx ± = u/G±φ. Using (4.12) we see thatT 13) are finite where M and N are given by (2.12). One can check that (4.13) is given by the following scaling from the energy-momentum tensor of AdS case:…”

Section: Definition Of Energy-momentum Tensor For Asymptotically Flatmentioning

confidence: 99%

“…If one considers a two dimensional CFT and takes its non-relativistic limit by contracting one of the coordinates, the contracted algebra is exactly (2.17) [10][11][12][13]. In this context the algebra (2.17) is called Galilean conformal algebra due to appearance of Galilean subalgebra.…”

Section: Bms/gca Correspondencementioning

confidence: 99%

“…The observation of [1,2] was that BMS algebra is isomorphic Galilean conformal algebra (GCA) which is a result of contraction of conformal algebra [10][11][12][13]. This connection dubbed the BMS/GCA correspondence was studied carefully in [3] where it was shown that in order to have a well-defined correspondence at the level of centrally extended algebras, at the level of spacetime, the time direction must be contracted in the CFT and the resultant theory is an ultra-relativistic field theory.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Flat-space energy-momentum tensor from BMS/GCA correspondence

Fareghbal

Naseh

2014

J. High Energ. Phys.

100

View full text Add to dashboard Cite

Flat-space limit is well-defined for asymptotically AdS spacetimes written in coordinates called the BMS gauge. For the three-dimensional Einstein gravity with a negative cosmological constant, we calculate the quasi-local energy momentum tensor in the BMS gauge and take its flat-space limit. In defining the flat-space limit, we use the BMS/GCA correspondence which is a duality between gravity in flat-spacetime and a field theory with Galilean conformal symmetry. The resulting stress tensor reproduces correct values for conserved charges of three dimensional asymptotically flat solutions. We show that the conservation relation of the flat-space energy-momentum tensor is given by an ultra-relativistic contraction of its relativistic counterpart. The conservation equations correspond to Einstein equation for the flat metric written in the BMS gauge. Our results provide further checks for the proposal that the holographic dual of asymptotically flat spacetimes is a field theory with Galilean conformal symmetry.

show abstract

“…This AS of Mink 3 is XBMS 3 [58]. Here we review its derivation by a "contraction" of the Vir + × Vir − AS of AdS 3 , essentially getting flat 3D by taking the R AdS 3 → ∞ limit [59,[76][77][78][79][80][81].…”

Section: Non-unitary Nature Of Cgrmentioning

confidence: 99%

Asymptotic symmetries, holography and topological hair

Mishra¹,

Sundrum²

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

Asymptotic symmetries of AdS 4 quantum gravity and gauge theory are derived by coupling the holographically dual CFT 3 to Chern-Simons gauge theory and 3D gravity in a "probe" (large-level) limit. Despite the fact that the three-dimensional AdS 4 boundary as a whole is consistent with only finite-dimensional asymptotic symmetries, given by AdS isometries, infinite-dimensional symmetries are shown to arise in circumstances where one is restricted to boundary subspaces with effectively two-dimensional geometry. A canonical example of such a restriction occurs within the 4D subregion described by a Wheeler-DeWitt wavefunctional of AdS 4 quantum gravity. An AdS 4 analog of Minkowski "super-rotation" asymptotic symmetry is probed by 3D Einstein gravity, yielding CFT 2 structure (in a large central charge limit), via AdS 3 foliation of AdS 4 and the AdS 3 /CFT 2 correspondence. The maximal asymptotic symmetry is however probed by 3D conformal gravity. Both 3D gravities have Chern-Simons formulation, manifesting their topological character. Chern-Simons structure is also shown to be emergent in the Poincare patch of AdS 4 , as soft/boundary limits of 4D gauge theory, rather than "put in by hand" as an external probe. This results in a finite effective Chern-Simons level. Several of the considerations of asymptotic symmetry structure are found to be simpler for AdS 4 than for Mink 4 , such as non-zero 4D particle masses, 4D non-perturbative "hard" effects, and consistency with unitarity. The last of these in particular is greatly simplified because in some setups the time dimension is explicitly shared by each level of description: Lorentzian AdS 4 , CFT 3 and CFT 2 . Relatedly, the CFT 2 structure clarifies the sense in which the infinite asymptotic charges constitute a useful form of "hair" for black holes and other complex 4D states. An AdS 4 analog of Minkowski "memory" effects is derived, but with late-time memory of earlier events being replaced by (holographic) "shadow" effects. Lessons from AdS 4 provide hints for better understanding Minkowski asymptotic symmetries, the 3D structure of its soft limits, and Minkowski holography.

show abstract

GCA in 2d

Cited by 179 publications

References 47 publications

Flat-Space Chiral Gravity

Flat-Space Chiral Gravity

Flat-space energy-momentum tensor from BMS/GCA correspondence

Asymptotic symmetries, holography and topological hair

Contact Info

Product

Resources

About