Generalized BMS algebra in higher even dimensions

Chowdhury, Chandramouli; H, Anupam A.; Kundu, Arpan

doi:10.1103/physrevd.106.126025

Cited by 7 publications

(8 citation statements)

References 32 publications

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“…This led to introduce less restrictive boundary conditions allowing to recover, e.g., the BMS asymptotic group also for spacetime dimensions D > 4 [20], see also [21][22][23][24][25][26][27][28][29]. Similar infinite-dimensional enhancements of the asymptotic symmetries at null infinity have been identified also for Yang-Mills [30][31][32][33][34] and higher-spin gauge theories [35].…”

Section: Introductionmentioning

confidence: 72%

Renormalization of spin-one asymptotic charges in AdSD

Campoleoni,

Delfante,

Francia

et al. 2023

J. High Energ. Phys.

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We study the renormalized action and the renormalized presymplectic potential for Maxwell fields on Anti de Sitter backgrounds of any dimensions. We then use these results to explicitly derive finite boundary charges for angle-dependent asymptotic symmetries. We consider both Poincaré and Bondi coordinates, the former allowing us to control the systematics for arbitrary D, the latter being better suited for a smooth flat limit.

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Section: Introductionmentioning

confidence: 72%

Renormalization of spin-one asymptotic charges in AdSD

Campoleoni,

Delfante,

Francia

et al. 2023

J. High Energ. Phys.

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“…The Bondi-Metzner-Sachs [1-3] asymptotic symmetry group of asymptotically flat spacetime has received again much attention over the last decade by virtue of its relevance for black-hole physics [4][5][6], the group-theoretical structure of general relativity [7][8][9][10][11][12][13][14][15][16][17][18][19][20] and the infrared structure of fundamental interactions [21][22][23][24]. The appropriate geometric framework can be summarized as follows.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous Projective Coordinates for the Bondi-Metzner-Sachs Group

Esposito,

Vitale

2024

Preprint

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This paper studies the Bondi-Metzner-Sachs group in homogeneous projective coordinates, because it is then possible to write all transformations of such a group in a manifestly linear way. The 2-sphere metric, Bondi-Metzner-Sachs metric, asymptotic Killing vectors, generators of supertranslations, as well as boosts and rotations of Minkowski spacetime, are all re-expressed in homogeneous projective coordinates. Last, the integral curves of vector fields which generate supertranslations are evaluated in detail. This work prepares the ground for more advanced applications of the differential geometry of asymptotically flat spacetimes in projective coordinates.

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“…The recent developments on the applications of the Bondi-Metzner-Sachs (hereafter BMS) group, i.e., the asymptotic symmetry group of an asymptotically flat space-time (see Equations (A1)-(A3) of Appendix A), have been motivated by black hole physics, quantum gravity and gauge theories, as is well described in many outstanding works (e.g., Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. However, a purely classical investigation may still lead to a neater understanding of the mathematical operations frequently performed.…”

Section: Introductionmentioning

confidence: 99%

On the Nature of Bondi–Metzner–Sachs Transformations

Mirzaiyan

Esposito

2023

Symmetry

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This paper investigates, as a first step, the four branches of BMS transformations, motivated by the classification into elliptic, parabolic, hyperbolic and loxodromic proposed a few years ago in the literature. We first prove that to each normal elliptic transformation of the complex variable ζ used in the metric for cuts of null infinity, there is a corresponding BMS supertranslation. We then study the conformal factor in the BMS transformation of the u variable as a function of the squared modulus of ζ. In the loxodromic and hyperbolic cases, this conformal factor is either monotonically increasing or monotonically decreasing as a function of the real variable given by the modulus of ζ. The Killing vector field of the Bondi metric is also studied in correspondence with the four admissible families of BMS transformations. Eventually, all BMS transformations are re-expressed in the homogeneous coordinates suggested by projective geometry. It is then found that BMS transformations are the restriction to a pair of unit circles of a more general set of transformations. Within this broader framework, the geometry of such transformations is studied by means of its Segre manifold.

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Generalized BMS algebra in higher even dimensions

Cited by 7 publications

References 32 publications

Renormalization of spin-one asymptotic charges in AdSD

Renormalization of spin-one asymptotic charges in AdSD

Homogeneous Projective Coordinates for the Bondi-Metzner-Sachs Group

On the Nature of Bondi–Metzner–Sachs Transformations

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