Black Holes in Klein Space

Crawley, Erin; Guevara, Alfredo; Miller, Noah; Strominger, Andrew

doi:10.48550/arxiv.2112.03954

Cited by 19 publications

(63 citation statements)

References 91 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As seen in [19], extra boundary components introduce an enhancement in the soft phase space. The observations in [24,43,67] point towards some natural starting points in terms of limits of scattering amplitudes or changing the modular parameter for CCFT on the celestial torus.…”

Section: Discussionmentioning

confidence: 93%

Chaos in Celestial CFT

Pasterski,

Verlinde

2022

Preprint

View full text Add to dashboard Cite

Celestial holography proposes a duality between gravitational scattering in asymptotically flat spacetime and a conformal field theory living on the celestial sphere. Its dictionary relates the infinite dimensional space-time symmetry group to Ward identities of the CFT. The spontaneous breaking of these asymptotic symmetries governs the dynamics of the soft sector in the CFT. Here we show that this sector encodes non-trivial backreaction effects that exhibit characteristics of maximal quantum chaos. A key element in the derivation is the identification of the Hilbert space of celestial CFT, defined through radial quantization, with that of a constantly accelerating Rindler observer. From the point of view of the bulk, Rindler particles exhibit Lyapunov behavior due to shockwave interactions that shift the observer horizon. From the point of view of the boundary, the superrotation Goldstone modes affect the relevant representations of the celestial Virasoro symmetry in a manner that induces Lyapunov behavior of out-of-time-ordered celestial correlators.

show abstract

Section: Discussionmentioning

confidence: 93%

Chaos in Celestial CFT

Pasterski,

Verlinde

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Even though the field appears free, singularities of the integral (4) in x µ encode compact sources when interpreted in (3, 1) signature. We anticipate that φ f will be identified with gravitational perturbations as in [65].…”

Section: Twistor Theorymentioning

confidence: 98%

“…(we use the conventions of App. E of [65]; both x A Ḃ and Z α will be real in (2, 2) signature). Then, the condition…”

Section: Twistor Theorymentioning

confidence: 99%

“…Next we provide applications of the new formula for both stationary and non-stationary cases. The usual downside of the Feynman prescription, namely that it requires boundary data at both past and future null infinity, disappears in this case since (2, 2) Kleinian space has only a single null infinity [65].…”

Section: Analytic Continuation and Reconstructionmentioning

confidence: 99%

“…This excludes so-called Coulomb or potential modes which can only explore spatial infinity [138]. To sort this out, in this work we find motivation in the analytic continuation recently studied in [65]: In (2, 2) signature Coulomb modes can probe null infinity and hence be captured by (2,2) scattering amplitudes. We will provide evidence that these Kleinian spacetimes can indeed be reconstructed from the analytic S-Matrix, after which they can be Wick rotated back to (1,3) signature.…”

Section: Introductionmentioning

confidence: 96%

See 2 more Smart Citations

Reconstructing Classical Spacetimes from the S-Matrix in Twistor Space

Guevara¹

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We present a holographic construction of solutions to the gravitational wave equation starting from QFT scattering amplitudes. The construction amounts to a change of basis from momentum to (2, 2) twistor space, together with a recently introduced analytic continuation between (2, 2) and (1, 3) spacetimes. We test the transform for three and four-point amplitudes in a classical limit, recovering both stationary and dynamical solutions in GR as parametrized by their tower of multipole moments, including the Kerr black hole. As a corollary, this provides a link between the Kerr-Schild classical double copy and the QFT double copy.

show abstract

NS-NS spacetimes from amplitudes

Monteiro

Nagy

O’Connell

et al. 2022

J. High Energ. Phys.

View full text Add to dashboard Cite

Recent work has shown how on-shell three-point amplitudes in gauge theory and gravity, representing the coupling to massive particles, correspond in the classical limit to the curvature spinors of linearised solutions. This connection, made explicit via the KMOC formalism in split metric signature, turns the double copy of scattering amplitudes into the double copy of classical solutions. Here, we extend this framework to the universal massless sector of supergravity, which is the complete double copy of pure gauge theory. Our extension relies on a Riemann-Cartan curvature incorporating the dilaton and the B-field. In this setting, we can determine the most general double copy arising from the product of distinct gauge theory solutions, say a dyon and $$ \sqrt{\mathrm{Kerr}} $$ Kerr . This gives a double-copy interpretation to gravity solutions of the type Kerr-Taub-NUT-dilaton-axion. We also discuss the extension to heterotic gravity. Finally, we describe how this formalism for the classical double copy relates to others in the literature, namely (i) why it is an on-shell momentum space analogue of the convolutional prescription, and (ii) why a straightforward prescription in position space is possible for certain vacuum solutions.

show abstract

Black Holes in Klein Space

Cited by 19 publications

References 91 publications

Chaos in Celestial CFT

Chaos in Celestial CFT

Reconstructing Classical Spacetimes from the S-Matrix in Twistor Space

NS-NS spacetimes from amplitudes

Contact Info

Product

Resources

About