Asymptotic Charges at Null Infinity in Any Dimension

Campoleoni, Andrea; Francia, Dario; Heissenberg, Carlo

doi:10.3390/universe4030047

Cited by 32 publications

(50 citation statements)

References 116 publications

(284 reference statements)

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“…For higher d, it was presumed to hold by some authors [3]. However, gauge conditions exist for the Bondi-gauge null-infinity behavior of asymptotically flat spacetimes that render bms(d + 2) finite-dimensional [21], and with this choice ccarr2(d + 1) = bms(d + 2). This does not exclude that less restrictive gauge fixing might be considered leading to other, possibly infinite-dimensional bms(d + 2) algebras for d ≥ 3.…”

Section: Conformal Carrollian Isometriesmentioning

confidence: 99%

Carroll structures, null geometry, and conformal isometries

et al. 2019

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We study the concept of Carrollian spacetime starting from its underlying fiber-bundle structure. The latter admits an Ehresmann connection, which enables a natural separation of time and space, preserved by the subset of Carrollian diffeomorphisms. These allow for the definition of Carrollian tensors and the structure at hand provides the designated tools for describing the geometry of null hypersurfaces embedded in Lorentzian manifolds. Using these tools, we investigate the conformal isometries of general Carrollian spacetimes and their relationship with the BMS group.

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Section: Conformal Carrollian Isometriesmentioning

confidence: 99%

Carroll structures, null geometry, and conformal isometries

et al. 2019

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“…Einstein's equations determine D.D.C (n) , 0 < n < m − 3, recursively in terms of D.D.C (−1) and determine D.D.C (n) , m − 1 < n < 2m − 3, recursively in terms of D.D.C (m−2) (see [29])…”

Section: Conditions For Finiteness Of the Chargementioning

confidence: 99%

Supertranslations in higher dimensions revisited

Aggarwal

2019

Phys. Rev. D

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In this paper, we revisit the question of identifying Soft Graviton theorem in higher (even) dimensions with Ward identities associated with Asymptotic symmetries. Building on the prior work of [1], we compute, from first principles, the (asymptotic) charges associated to Supertranslation symmetry in higher even dimensions and show that (i) these charges are nontrivial, finite and (ii) the corresponding Ward identities are indeed the soft graviton theorems.

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“…Extension of the asymptotic analysis to higher dimensions raises interesting issues, which have led to a somewhat unclear situation at null infinity where some studies yield infinitedimensional asymptotic symmetries as in four spacetime dimensions, while some others do not [37][38][39][40][41][42][43][44][45][46]. The question is further complicated in odd spacetime dimensions because half-integer fractional powers of r −1 mix with integer powers, leading to problems with the conformal definition of null infinity [47][48][49], and the frequent necessity to split the analysis according to whether the spacetime dimension is odd or even since only in the latter case does one avoid non-analytic functions at null infinity.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic structure of electromagnetism in higher spacetime dimensions

Henneaux

Troessaert

2019

Phys. Rev. D

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We investigate the asymptotic structure of electromagnetism in Minkowski space in even and odd spacetime dimensions ≥ 4. We focus on d > 4 since the case d = 4 has been studied previously at length. We first consider spatial infinity where we provide explicit boundary conditions that admit the known physical solutions and make the formalism well defined (finite symplectic structure and charges). Contrary to the situation found in d = 4 dimensions, there is no need to impose parity conditions under the antipodal map on the leading order of the fields when d > 4. There is, however, the same need to modify the standard bulk symplectic form by a boundary term at infinity involving a surface degree of freedom. This step makes the Lorentz boosts act canonically. Because of the absence of parity conditions, the theory is found to be invariant under two independent algebras of angle-dependent u(1) transformations (d > 4). We then integrate the equations of motion in order to find the behaviour of the fields near null infinity. We exhibit the radiative and Coulomb branches, characterized by different decays and parities. The analysis yields generalized matching conditions between the past of I + and the future of I − . * On leave of absence from Collège de France, 11 place Marcelin Berthelot,

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Asymptotic Charges at Null Infinity in Any Dimension

Cited by 32 publications

References 116 publications

Carroll structures, null geometry, and conformal isometries

Carroll structures, null geometry, and conformal isometries

Supertranslations in higher dimensions revisited

Asymptotic structure of electromagnetism in higher spacetime dimensions

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