Supertranslation hair of Schwarzschild black hole: a Wilson line perspective

Choi, Sangmin; Pradhan, Sean; Akhoury, Ratindranath

doi:10.1007/jhep01(2020)013

Cited by 11 publications

(10 citation statements)

References 95 publications

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“…which matches the Coulomb field expression (36). The divergence in the dressing gauge potential (51) raises the question of whether Φ N is a well-defined member of the algebra of operators.…”

Section: B Null Dressingsmentioning

confidence: 60%

“…This kind of operator has also been used in work investigating dressing of particle states, e.g. recently in [36]. gauge potential, for x 0 spacelike separated from x, was found at leading order in q in [8],…”

Section: A General Dressingsmentioning

confidence: 99%

“…The first term vanishes, since A i D ðt ¼ 0Þ vanishes, from the equal-time commutators [compare (36)]. The form ofF, from (43), gives for the asymptotic term…”

Section: Commutators Of Shell Operatorsmentioning

confidence: 99%

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Gauge-invariant observables in gravity and electromagnetism: Black hole backgrounds and null dressings

Giddings

Weinberg

2020

Phys. Rev. D

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We address questions regarding construction and implications of gauge-invariant "dressed" observables in nontrivial background geometries such as that of a black hole. Formally, such observables can be constructed, e.g., by locating points with geodesics launched from infinity. However, practical complications arise in nontrivial geometries, and in particular for observables behind black hole horizons. Greater simplicity can be achieved by considering null constructions where the dressing lies along a null geodesic, or null surface such as a cone. We first investigate basic properties of these null dressings in the simpler context of electromagnetism. Since null constructions provide simple dressings for gauge-invariant observables inside black holes, they also allow us to investigate the question of compatibility of observables inside and outside black holes, and in particular the idea of black hole complementarity. While such observables in general have nonvanishing state-dependent commutators, the failure to commute does not appear particularly enhanced by the presence of the horizon.

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Section: B Null Dressingsmentioning

confidence: 60%

Section: A General Dressingsmentioning

confidence: 99%

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Gauge-invariant observables in gravity and electromagnetism: Black hole backgrounds and null dressings

Giddings

Weinberg

2020

Phys. Rev. D

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“…Gravitational analogs of electric-magnetic duality have been proposed in [186][187][188][189][190][191][192][193][194]. Observable signatures of these symmetries include memory effects at null infinity [18,19,162,[195][196][197][198] or near black hole horizons [199][200][201][202][203][204][205], as well as in shockwave backgrounds with accelerated observers [206][207][208][209][210]. Counterparts of asymptotic symmetries and memory effects in higher-dimensional asymptotically flat spacetimes have been analyzed in [195,[211][212][213].…”

Section: Soft Theorems and Asymptotic Symmetriesmentioning

confidence: 99%

The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes

McLoughlin¹,

Puhm²,

Raclariu³

2022

Preprint

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The soft limits of scattering amplitudes have been extensively studied due to their essential role in the computation of physical observables in collider physics. The universal factorisation that occurs in these kinematic limits has been shown to be related to conservation laws associated with asymptotic, or large, gauge symmetries. This connection has led to a deeper understanding of the symmetries of gauge and gravitational theories and to a reformulation of scattering amplitudes in a basis of boost eigenstates which makes manifest the two-dimensional global conformal symmetry of the celestial sphere. The recast, or celestial, amplitudes possess many of the properties of conformal field theory correlation functions which has suggested a path towards a holographic description of asymptotically flat spacetimes. In this review we consider these interconnected developments in our understanding of soft theorems, asymptotic symmetries and conformal field theory with a focus on the structure and symmetries of the celestial amplitudes and their holographic interpretation.

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“…In direct analogy with the gauge theory analysis, the soft piece is a correlation function of Wilson line-inspired operators constructed from the Goldstone boson and supertranslation currents. Gravitational Wilson line operators and their relation to gravitational soft dressings were discussed in [12,14,15]. The gravitational cusp anomalous dimension, which appears in the level of the Goldstone current, was related to soft factorization in [16].…”

Section: Introductionmentioning

confidence: 99%

The soft $$ \mathcal{S} $$-matrix in gravity

Himwich¹,

Narayanan²,

Pate

et al. 2020

J. High Energ. Phys.

111

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The gravitational $$ \mathcal{S} $$ S -matrix defined with an infrared (IR) cutoff factorizes into hard and soft factors. The soft factor is universal and contains all the IR and collinear divergences. Here we show, in a momentum space basis, that the intricate expression for the soft factor is fully reproduced by two boundary currents, which live on the celestial sphere. The first of these is the supertranslation current, which generates spacetime supertranslations. The second is its symplectic partner, the Goldstone current for spontaneously broken supertranslations. The current algebra has an off-diagonal level structure involving the gravitational cusp anomalous dimension and the logarithm of the IR cutoff. It is further shown that the gravitational memory effect is contained as an IR safe observable within the soft $$ \mathcal{S} $$ S -matrix.

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Supertranslation hair of Schwarzschild black hole: a Wilson line perspective

Cited by 11 publications

References 95 publications

Gauge-invariant observables in gravity and electromagnetism: Black hole backgrounds and null dressings

Gauge-invariant observables in gravity and electromagnetism: Black hole backgrounds and null dressings

The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes

The soft $$ \mathcal{S} $$-matrix in gravity

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