A New Gauge for Asymptotically Flat Spacetime

Krishnan, Chethan; Pereira, Jude

doi:10.48550/arxiv.2112.11440

Cited by 5 publications

(30 citation statements)

References 22 publications

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“…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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Section: Introductionmentioning

confidence: 99%

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

Ahn¹

2022

Preprint

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“…Attempts in this direction typically consider the Bondi gauge [1] and future null infinity I + , or the Ashtekar-Hansen gauge [2] and spatial infinity i 0 . Based on various motivations 1 , a new gauge for asymptotically flat space was introduced recently in [3] which treats I + and I − on an equal footing, and where these boundaries are approached along null coordinates v and u. With a specific choice of fall-offs in the null coordinates, it was found that this Special Double Null (SDN) gauge [3] can reproduce the famous BMS algebra.…”

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confidence: 99%

“…Based on various motivations 1 , a new gauge for asymptotically flat space was introduced recently in [3] which treats I + and I − on an equal footing, and where these boundaries are approached along null coordinates v and u. With a specific choice of fall-offs in the null coordinates, it was found that this Special Double Null (SDN) gauge [3] can reproduce the famous BMS algebra. Some hints that a generalization of BMS may be accessible in this gauge were noted, but because of various novel technical and conceptual features that emerged in the gauge which needed immediate attention [3,6], a detailed exploration of this was not undertaken in [3].…”

mentioning

confidence: 99%

“…With a specific choice of fall-offs in the null coordinates, it was found that this Special Double Null (SDN) gauge [3] can reproduce the famous BMS algebra. Some hints that a generalization of BMS may be accessible in this gauge were noted, but because of various novel technical and conceptual features that emerged in the gauge which needed immediate attention [3,6], a detailed exploration of this was not undertaken in [3].…”

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confidence: 99%

“…We identify 1 See eg. discussions in [3][4][5][6]. 2 This may seem overly restrictive for the following reason: the fall-offs in the metric that are preserved by these asymptotic diffeomorphisms.…”

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Hypertranslations and Hyperrotations

Krishnan¹,

Pereira²

2022

Preprint

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We study the asymptotic symmetries of gravity in flat space. Instead of Bondi gauge, we work with the recently introduced special double null gauge, in which I + and I − are approached along null directions. We find four new functions worth of asymptotic diffeomorphisms with finite surface charges, beyond the familiar supertranslations and superrotations. Two of these arise from angle-dependent shifts in the v-coordinate near I + . We call these hypertranslations and subleading hypertranslations, with analogous statements in the u-coordinate near I − . There are also two Diff(S 2 ) transformations, which we call hyperrotations, that are sub-leading to the Virasoro superrotations. With power law fall-offs in the null coordinate and the standard metric on the sphere at leading order, we prove that this is the exhaustive list of symmetries with finite covariant surface charges in Einstein gravity. We compute the algebra of the asymptotic Killing vectors under the Barnich-Troessaert bracket, and find a four-fold infinite generalization of the BMS algebra.

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A holographic entanglement entropy at spi

Ghosh,

Krishnan

2024

J. High Energ. Phys.

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Defining finite entanglement entropy for a subregion in quantum field theory requires the introduction of two logically independent scales: an IR scale that controls the size of the subregion, and a UV cut-off. In AdS/CFT, the IR scale is the AdS lengthscale, the UV cut-off is the bulk radial cut-off, and the subregion is specified by dimensionless angles. This is the data that determines Ryu-Takayanagi surfaces and their areas in AdS/CFT. We argue that in asymptotically flat space there exists the notion of a “spi-subregion” that one can associate to spatial infinity (spi). Even though geometrically quite different from an AdS subregion, this angle data has the crucial feature that it allows an interpretation as a bi-partitioning of spi. Therefore, the area of the RT surface associated to the spi-subregion can be interpreted as the entanglement entropy of the reduced density matrix of the bulk state under this bi-partition, as in AdS/CFT. For symmetric spi-subregions, these RT surfaces are the waists of Asymptotic Causal Diamonds. In empty flat space they reduce to Rindler horizons, and are analogues of the AdS-Rindler horizons of Casini, Huerta & Myers. We connect these results to previous work on minimal surfaces anchored to screens in empty space, but also generalize the discussion to the case where there are black holes in the bulk. The phases of black hole RT surfaces as the spi-subregion is varied, naturally connect with those of black holes (small and large) in AdS. A key observation is that the radial cut-off is associated to an IR scale in flat space — and in fact there are no UV divergences. We argue that this is consistent with previous suggestions that in sub-AdS scales the holographic duality is an IR/IR correspondence and that the degrees of freedom are not those of a local QFT, but those of long strings. Strings are of course, famously UV finite.

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A New Gauge for Asymptotically Flat Spacetime

Cited by 5 publications

References 22 publications

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

Hypertranslations and Hyperrotations

A holographic entanglement entropy at spi

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