BMS flux algebra in celestial holography

Donnay, Laura; Ruzziconi, Romain

doi:10.1007/jhep11(2021)040

Cited by 46 publications

(78 citation statements)

References 78 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The importance of the conformal derivative to the canonical analysis of GBMS was first revealed by Campiglia and Peraza in [32]. It was also used by Donnay and Ruzziconi in [59] 4 and it is a central feature of the holographic fluid perspective developed by Ciambelli et al [60,61].…”

Section: Asymptotic Equations Of Motionmentioning

confidence: 98%

“…Another candidate operation on primaries is the time derivative ∂ u : (∆, s) → (∆+1, s) which raises the dimension and preserves the spin. It turns out that if O (∆,s) is a homogeneous primary, then ∂ u O (∆,s) is a primary if and only if it transforms covariantly under supertranslations [46,59]. For instance, the shear C AB is a primary of dimension-spin (1, 2), while its time derivative N AB := ĊAB is not.…”

Section: Asymptotic Equations Of Motionmentioning

confidence: 99%

“…A related split, and the transformation properties of its soft and hard components under asymptotic symmetries were studied in [59]. The brackets ( 46) and ( 47) allow us to evaluate…”

Section: Leading Actionmentioning

confidence: 99%

See 2 more Smart Citations

Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations

Freidel,

Pranzetti,

Raclariu

2021

Preprint

View full text Add to dashboard Cite

We identify in Einstein gravity an asymptotic spin-2 charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem. Our treatment reveals that this spin-2 charge generates a non-local spacetime symmetry represented at null infinity by pseudo-vector fields. Moreover, we demonstrate that the non-linear nature of Einstein's equations is reflected in the Ward identity through collinear corrections to the sub-subleading soft theorem. Our analysis also provides a unified treatment of the universal soft theorems as conservation equations for the spin-0,-1,-2 canonical generators, while highlighting the important role played by the dual mass.

show abstract

Section: Asymptotic Equations Of Motionmentioning

confidence: 98%

Section: Asymptotic Equations Of Motionmentioning

confidence: 99%

See 1 more Smart Citation

Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations

Freidel,

Pranzetti,

Raclariu

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…This states that, at leading order in 1/r, the gyroscope's axis only rotates in the plane tangent to the celestial sphere at the observer's location. The precession frequency is set by the quantity M, dubbed 'dual covariant mass aspect' [32] in analogy with the usual covariant mass aspect m + 1 8 N ab C ab [41,49]. 5 (Indeed, the latter reduces to M when the shear C ab is replaced by its dual C ab and the mass aspect m is replaced by − 1 4 ab D b D c C ac , i.e.…”

Section: Precession As a Dual Mass Aspectmentioning

confidence: 99%

Gyroscopic Gravitational Memory

Seraj¹,

Oblak²

2021

Preprint

View full text Add to dashboard Cite

We study the motion of a gyroscope located far away from an isolated gravitational source in an asymptotically flat space-time. As seen from a local frame 'tied to distant stars', the gyroscope precesses when gravitational waves cross its path, resulting in a net 'orientation memory' that carries information on the wave profile. The effect is related to asymptotic symmetries: at leading order in the inverse distance to the source, the precession rate coincides with the (covariant) dual mass aspect, providing a celestially local measurement protocol for dual supertranslation charges. Furthermore, the net gyroscopic memory is derived from flux-balance equations for superrotations and contains an extra flux generating electric-magnetic duality. The spin memory effect is reproduced as a special case.

show abstract

“…In [8], the supersymmetric w 1+∞ algebra has been identified with the corresponding soft current algebra in the supersymmetric Einstein-Yang-Mills theory. The relevant works on the celestial holography in the various directions can be found in [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35]. See [1] for more complete literatures.…”

Section: Introductionmentioning

confidence: 99%

A Deformed Supersymmetric $w_{1+\infty}$ Symmetry in the Celestial Conformal Field Theory

Ahn¹

2022

Preprint

View full text Add to dashboard Cite

By using the K-free complex bosons and the K-free complex fermions, we construct the N = 2 supersymmetric W K,K ∞ algebra which is the matrix generalization of previous N = 2 supersymmetric W ∞ algebra. By twisting this N = 2 supersymmetric W K,K ∞ algebra, we obtain the N = 1 supersymmetric W K ∞ algebra which is the matrix generalization of known N = 1 supersymmetric topological W ∞ algebra. From this two-dimensional symmetry algebra, we propose the operator product expansion (OPE) between the soft graviton and gravitino (as a first example), at nonzero deformation parameter, in the supersymmetric Einstein-Yang-Mills theory explicitly. Other six OPEs between the graviton, gravitino, gluon and gluino can be determined completely. At vanishing deformation parameter, we reproduce the known result of Fotopoulos, Stieberger, Taylor and Zhu on the above OPEs via celestial holography.

show abstract

BMS flux algebra in celestial holography

Cited by 46 publications

References 78 publications

Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations

Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations

Gyroscopic Gravitational Memory

A Deformed Supersymmetric $w_{1+\infty}$ Symmetry in the Celestial Conformal Field Theory

Contact Info

Product

Resources

About