Asymptotic symmetries and subleading soft graviton theorem

Campiglia, Miguel; Laddha, Alok

doi:10.1103/physrevd.90.124028

Cited by 335 publications

(545 citation statements)

References 52 publications

(189 reference statements)

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“…In [60], the same set of authors concluded that the Virasoro central terms were 2 This section was worked out in collaboration with Anandita De. 3 Here it is of interest to mention that the BMS4 group has also been recently extended differently to include all smooth vector fields on S 2 instead of extending the global conformal symmetries to Virasoro symmetries [57,58]. This generalisation of the BMS group is thus the semi-direct product of the supertranslations with Diff(S 2 ), the group of smooth conformal deformations of the sphere at null infinity.…”

Section: Symmetries Of Bmsmentioning

confidence: 99%

Flat holography: aspects of the dual field theory

Bagchi

Basu

Kakkar

et al. 2016

J. High Energ. Phys.

175

177

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Assuming the existence of a field theory in D dimensions dual to (D + 1)-dimensional flat space, governed by the asymptotic symmetries of flat space, we make some preliminary remarks about the properties of this field theory. We review briefly some successes of the 3d bulk -2d boundary case and then focus on the 4d bulk -3d boundary example, where the symmetry in question is the infinite dimensional BMS 4 algebra. We look at the constraints imposed by this symmetry on a 3d field theory by constructing highest weight representations of this algebra. We construct two and three point functions of BMS primary fields and surprisingly find that symmetries constrain these correlators to be identical to those of a 2d relativistic conformal field theory. We then go one dimension higher and construct prototypical examples of 4d field theories which are putative duals of 5d Minkowski spacetimes. These field theories are ultra-relativistic limits of electrodynamics and Yang-Mills theories which exhibit invariance under the conformal Carroll group in D = 4. We explore the different sectors within these Carrollian gauge theories and investigate the symmetries of the equations of motion to find that an infinite ultra-relativistic conformal structure arises in each case.

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Section: Symmetries Of Bmsmentioning

confidence: 99%

Flat holography: aspects of the dual field theory

Bagchi

Basu

Kakkar

et al. 2016

J. High Energ. Phys.

175

177

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“…Since the seminal work by Strominger [1], there has been a flurry of activity towards understanding the role of a class of symmetries known as "asymptotic symmetries" in gauge theories and gravity [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. For theories containing massless particles of spin 1 ≤ s ≤ 2, asymptotic symmetries are obtained by considering gauge transformations which do not fall off at infinity.…”

Section: Introductionmentioning

confidence: 99%

Double soft graviton theorems and Bondi-Metzner-Sachs symmetries

Kundu

Ray

2018

Phys. Rev. D

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It is now well understood that Ward identities associated with the (extended) BMS algebra are equivalent to single soft graviton theorems. In this work, we show that if we consider nested Ward identities constructed out of two BMS charges, a class of double soft factorization theorems can be recovered. By making connections with earlier works in the literature, we argue that at the subleading order, these double soft graviton theorems are the so-called consecutive double soft graviton theorems. We also show how these nested Ward identities can be understood as Ward identities associated with BMS symmetries in scattering states defined around (non-Fock) vacua parametrized by supertranslations or superrotations.

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“…The content of Noether's theorem for incompressible fluids is that the convected momentum is always a constant independent of time. 5 As a result, we get a conserved quantity,…”

Section: Jhep10(2017)049mentioning

confidence: 99%

“…For certain choices of boundary conditions, the Lorentz subgroup is enlarged as well, to an infinite dimensional group of superrotations. Depending on the choice of boundary conditions, the superrotations comprise either the infinitesimal conformal transformations of the two-sphere [3,4] or else the smooth diffeomorphisms of the two-sphere, Diff(S 2 ) [5,6].…”

Section: Introductionmentioning

confidence: 99%

Near-horizon BMS symmetries as fluid symmetries

Penna

2017

J. High Energ. Phys.

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The Bondi-van der Burg-Metzner-Sachs (BMS) group is the asymptotic symmetry group of asymptotically flat gravity. Recently, Donnay et al. have derived an analogous symmetry group acting on black hole event horizons. For a certain choice of boundary conditions, it is a semidirect product of Diff(S 2 ), the smooth diffeomorphisms of the twosphere, acting on C ∞ (S 2 ), the smooth functions on the two-sphere. We observe that the same group appears in fluid dynamics as symmetries of the compressible Euler equations. We relate these two realizations of Diff(S 2 ) C ∞ (S 2 ) using the black hole membrane paradigm. We show that the Lie-Poisson brackets of membrane paradigm fluid charges reproduce the near-horizon BMS algebra. The perspective presented here may be useful for understanding the BMS algebra at null infinity.

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Asymptotic symmetries and subleading soft graviton theorem

Cited by 335 publications

References 52 publications

Flat holography: aspects of the dual field theory

Flat holography: aspects of the dual field theory

Double soft graviton theorems and Bondi-Metzner-Sachs symmetries

Near-horizon BMS symmetries as fluid symmetries

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