Mapping SYK to the Sky

Pasterski, Sabrina; Verlinde, Herman

doi:10.48550/arxiv.2201.05054

Cited by 5 publications

(10 citation statements)

References 54 publications

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“…Recent findings of different correlation functions in these theories [65,66] As mentioned before, in order to reproduce flatspace scattering, as in Celestial CFTs, Carroll CFTs need an infinite number of primary fields with complex scaling dimension. Moreover, the celestial CFT enjoys a much larger symmetry [20][21][22][23][24][25][26][27][28][29][30]32] than the extended BMS 4 algebra and these additional symmetries play a central role in holographic computation of scattering amplitudes. We would ideally like to construct an explicit example of such a theory to provide a concrete proposal between a gravitational theory in asymptotically flat spacetimes and a Carroll CFT with additional symmetries living on its null boundary.…”

Section: Discussionmentioning

confidence: 99%

“…For example, the SL 2 current algebra at level zero turns out to be a symmetry algebra [20] of tree level graviton scattering amplitudes. In fact it has been shown that the w 1+∞ is a symmetry algebra [22][23][24][25]28] for massless scattering amplitudes. This also holds at the loop level in some special cases.…”

Section: The Central Claimmentioning

confidence: 99%

“…This CFT is known as the Celestial CFT 1 . This approach to the flat space holography has already produced many novel results about asymptotic symmetries and scattering amplitudes [20][21][22][23][24][25][26][27][28][29][30]32] in four dimensions. The reader is pointed to the excellent recent reviews [35][36][37] for more details on Celestial holography.…”

Section: Introductionmentioning

confidence: 99%

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Scattering Amplitudes: Celestial and Carrollian

Bagchi,

Banerjee,

Basu

et al. 2022

Preprint

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Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in asymptotic symmetry and scattering amplitudes. A different formulation, using Carrollian CFTs, has been principally used to provide some evidence for flat holography in lower dimensions. Understanding of flatspace scattering has been lacking in the Carroll framework. In this work, using ideas from Celestial holography, we show that 3d Carrollian CFTs living on the null boundary of 4d flatspace can potentially compute bulk scattering amplitudes. 3d Carrollian conformal correlators have two different branches, one depending on the null time direction and one independent of it. We propose that it is the time-dependent branch that is related to bulk scattering. We construct an explicit field theoretic example of a free massless Carrollian scalar that realises some desired properties.

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Section: Discussionmentioning

confidence: 99%

Section: The Central Claimmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scattering Amplitudes: Celestial and Carrollian

Bagchi,

Banerjee,

Basu

et al. 2022

Preprint

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“…The numerical factor 3 2 in the first line of the first binomial coefficient is given by (2 + 3 2 ) (which is the sum of numerical numbers with minus sign in the numerator of previous weights) minus 2. The numerical factor 1 2 in the second line of the first binomial coefficient is given by 3 2 (which is the numerical number for the gravitino with minus sign in the numerator of previous weights) minus 1 10 . The first binomial coefficient above can be obtained from (3.15) by taking the shift l → (l + 1 2 ).…”

Section: The Ope Between the Graviton And The Gravitinomentioning

confidence: 99%

“…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

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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.

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A deformed supersymmetric $$w_{1+\infty }$$ symmetry in the celestial conformal field theory

Ahn

2022

Eur. Phys. J. C

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By using the K-free complex bosons and the K-free complex fermions, we construct the $$\mathcal {N}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }^{K,K}$$ W ∞ K , K algebra which is the matrix generalization of previous $${{\mathcal {N}}}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }$$ W ∞ algebra. By twisting this $${{\mathcal {N}}}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }^{K,K}$$ W ∞ K , K algebra, we obtain the $${{\mathcal {N}}}\,{=}\,1$$ N = 1 supersymmetric $$W_{\infty }^{K}$$ W ∞ K algebra which is the matrix generalization of known $${{\mathcal {N}}}\,{=}\,1$$ N = 1 supersymmetric topological $$W_{\infty }$$ 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.

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Mapping SYK to the Sky

Cited by 5 publications

References 54 publications

Scattering Amplitudes: Celestial and Carrollian

Scattering Amplitudes: Celestial and Carrollian

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

A deformed supersymmetric $$w_{1+\infty }$$ symmetry in the celestial conformal field theory

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