Soft photon theorem in the small negative cosmological constant limit

Banerjee, Narayan; Fernandes, Karan; Mitra, Arpita

doi:10.1007/jhep08(2021)105

“…Counterparts of asymptotic symmetries and memory effects in higherdimensional asymptotically flat spacetimes have been analysed in [209,[224][225][226]. Connections to the symmetry groups of negatively and positively curved spacetimes, as well as the gauge-gravity duality have been explored in [227][228][229][230][231][232], while potential implications for the black hole information paradox have been discussed in [233][234][235][236][237][238][239][240][241].…”

Section: Soft Theorems and Asymptotic Symmetriesmentioning

confidence: 99%

“…The symmetries of higher-dimensional gauge theories and their relation to soft theorems have been worked out in [174,248]. The relation between asymptotic symmetries and loop corrections to the subleading soft photon theorem has been addressed in [232,249,250], while multi-soft limits were recovered from nested charge commutators in [147,251]. The relation to gauge theories in AdS in the flat space limit has been studied in [252,253].…”

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

J. Phys. A: Math. Theor.

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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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“…Counterparts of asymptotic symmetries and memory effects in higher-dimensional asymptotically flat spacetimes have been analyzed in [195,[211][212][213]. Connections to the symmetry groups of negatively and positively curved spacetimes, as well as the gauge-gravity duality have been explored in [214][215][216][217][218][219], while implications for the black hole information paradox have been discussed in [220][221][222][223][224][225].…”

Section: Soft Theorems and Asymptotic Symmetriesmentioning

confidence: 99%

“…The symmetries of higher-dimensional gauge theories and their relation to soft theorems have been worked out in [161,232]. The relation between asymptotic symmetries and loop corrections to the sub-leading soft photon theorem has been addressed in [219,233,234], while multi-soft limits were recovered from nested charge commutators in [135,235]. The relation to gauge theories in AdS in the flat space limit has been studied in [236,237].…”

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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1/L2 corrected soft photon theorem from a CFT3 Ward identity

Banerjee

¹

,

Fernandes

²

,

Mitra

³

2023

J. High Energ. Phys.

10

0

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Classical soft theorems applied to probe scattering processes on AdS4 spacetimes predict the existence of perturbative 1/L2 corrections to the soft photon and soft graviton factors of asymptotically flat spacetimes. In this paper, we establish that the 1/L2 corrected soft photon theorem can be derived from a large N CFT3 Ward identity. We derive a perturbed soft photon mode operator on a flat spacetime patch in global AdS4 in terms of an integrated expression of the boundary CFT current. Using the same in the CFT3 Ward identity, we recover the 1/L2 corrected soft photon factor derived from classical soft theorems.

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Soft photon theorem in the small negative cosmological constant limit

Cited by 8 publications

References 45 publications

The SAGEX review on scattering amplitudes Chapter 11: Soft Theorems and Celestial Amplitudes

The SAGEX review on scattering amplitudes Chapter 11: Soft Theorems and Celestial Amplitudes

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

1/L2 corrected soft photon theorem from a CFT3 Ward identity

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