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Journal articles on the topic 'Carrollian holography'

Author: Grafiati
Published: 23 November 2024
Last updated: 31 July 2025

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1

Nguyen, Kevin, and Peter West. "Carrollian Conformal Fields and Flat Holography." Universe 9, no. 9 (2023): 385. http://dx.doi.org/10.3390/universe9090385.

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The null conformal boundary I of Minkowski spacetime M plays a special role in scattering theory, as it is the locus where massless particle states are most naturally defined. We construct quantum fields on I, which create these massless states from the vacuum and transform covariantly under Poincaré symmetries. Because the latter symmetries act as Carrollian conformal isometries of I, these quantum fields are Carrollian conformal fields. This group theoretic construction is intrinsic to I by contrast to existing treatments in the literature. However, we also show that the standard relativisti
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2

Have, Emil, Kevin Nguyen, Stefan Prohazka, and Jakob Salzer. "Massive carrollian fields at timelike infinity." Journal of High Energy Physics 2024, no. 7 (2024). http://dx.doi.org/10.1007/jhep07(2024)054.

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Abstract Motivated by flat space holography, we demonstrate that massive spin-s fields in Minkowski space near timelike infinity are massive carrollian fields on the carrollian counterpart of anti-de Sitter space called Ti. Its isometries form the Poincaré group, and we construct the carrollian spin-s fields using the method of induced representations. We provide a dictionary between massive carrollian fields on Ti and massive fields in Minkowski space, as well as to fields in the conformal primary basis used in celestial holography. We show that the symmetries of the carrollian structure natu
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3

Mason, Lionel, Romain Ruzziconi, and Akshay Yelleshpur Srikant. "Carrollian amplitudes and celestial symmetries." Journal of High Energy Physics 2024, no. 5 (2024). http://dx.doi.org/10.1007/jhep05(2024)012.

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Abstract Carrollian holography aims to express gravity in four-dimensional asymptotically flat spacetime in terms of a dual three-dimensional Carrollian CFT living at null infinity. Carrollian amplitudes are massless scattering amplitudes written in terms of asymptotic or null data at $$ \mathcal{I} $$ I . These position space amplitudes at $$ \mathcal{I} $$ I are to be re-interpreted as correlation functions in the putative dual Carrollian CFT. We derive basic results concerning tree-level Carrollian amplitudes yielding dynamical constraints on the holographic dual. We obtain surprisingly com
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4

Saha, Amartya. "w1+∞ and Carrollian holography." Journal of High Energy Physics 2024, no. 5 (2024). http://dx.doi.org/10.1007/jhep05(2024)145.

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Abstract In a 1 + 2D Carrollian conformal field theory, the Ward identities of the two local fields $$ {S}_0^{+} $$ S 0 + and $$ {S}_1^{+} $$ S 1 + , entirely built out of the Carrollian conformal stress-tensor, contain respectively up to the leading and the subleading positive helicity soft graviton theorems in the 1 + 3D asymptotically flat space-time. This work investigates how the subsubleading soft graviton theorem can be encoded into the Ward identity of a Carrollian conformal field $$ {S}_2^{+} $$ S 2 + . The operator product expansion (OPE) $$ {S}_2^{+}{S}_2^{+} $$ S 2 + S 2 + is const
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5

Bagchi, Arjun, Prateksh Dhivakar, and Sudipta Dutta. "AdS Witten diagrams to Carrollian correlators." Journal of High Energy Physics 2023, no. 4 (2023). http://dx.doi.org/10.1007/jhep04(2023)135.

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Abstract Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension one holographic duals to asymptotically flat spacetimes as opposed to Celestial CFTs which are co-dimension two. In this paper, drawing inspiration from Celestial holography, we show by a suitable generalisation of the flat space limit of AdS that keeps track of the previously disregarded null direction, one can reproduce Carrollian CFT correlation functions from AdS Witten diagrams. In particular, considering Witten diagrams in AdS4, we reproduce two and three-point correlation functions for three dimension
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6

Bagchi, Arjun, Prateksh Dhivakar, and Sudipta Dutta. "Holography in flat spacetimes: the case for Carroll." Journal of High Energy Physics 2024, no. 8 (2024). http://dx.doi.org/10.1007/jhep08(2024)144.

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Abstract We compare and contrast the two approaches of holography in asymptotically flat spacetimes, viz. the co-dimension two Celestial approach based on the Mellin transformation and the co-dimension one Carrollian approach based on the modified Mellin and elucidate how some of the problems of the Celestial approach can be rectified by the Carrollian one. Considering flat holography as a limit from AdS/CFT makes a co-dimension one dual more plausible, and our previous construction of Carrollian correlations from AdS Witten diagrams is testimony to this. In this paper, we show how to generali
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7

Salzer, Jakob. "An embedding space approach to Carrollian CFT correlators for flat space holography." Journal of High Energy Physics 2023, no. 10 (2023). http://dx.doi.org/10.1007/jhep10(2023)084.

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Abstract Carrollian conformal field theories (carrollian CFTs) are natural field theories on null infinity of an asymptotically flat spacetime or, more generally, geometries with conformal carrollian structure. Using a basis transformation, gravitational S-matrix elements can be brought into the form of correlators of a carrollian CFT. Therefore, it has been suggested that carrollian CFTs could provide a co-dimension one dual description to gravity in asymptotically flat spacetimes. In this work, we construct an embedding space formalism for three-dimensional carrollian CFTs and use it to dete
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8

Donnay, Laura, Adrien Fiorucci, Yannick Herfray, and Romain Ruzziconi. "Carrollian Perspective on Celestial Holography." Physical Review Letters 129, no. 7 (2022). http://dx.doi.org/10.1103/physrevlett.129.071602.

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9

Ciambelli, Luca, Charles Marteau, Anastasios C. Petkou, P. Marios Petropoulos, and Konstantinos Siampos. "Flat holography and Carrollian fluids." Journal of High Energy Physics 2018, no. 7 (2018). http://dx.doi.org/10.1007/jhep07(2018)165.

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10

Donnay, Laura, Adrien Fiorucci, Yannick Herfray, and Romain Ruzziconi. "Bridging Carrollian and celestial holography." Physical Review D 107, no. 12 (2023). http://dx.doi.org/10.1103/physrevd.107.126027.

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11

Pérez, Alfredo. "Asymptotic symmetries in Carrollian theories of gravity with a negative cosmological constant." Journal of High Energy Physics 2022, no. 9 (2022). http://dx.doi.org/10.1007/jhep09(2022)044.

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Abstract Asymptotic symmetries of electric and magnetic Carrollian gravitational theories with a negative cosmological constant Λ are analyzed in 3+1 space-time dimensions. In the magnetic theory, the asymptotic symmetry algebra is given by the conformal Carroll algebra in three dimensions, which is infinite-dimensional and isomorphic to the BMS4 algebra. These results are in full agreement with holographic expectations, providing a new framework for the study of Carrollian holography. On the contrary, in the case of the electric theory, the presence of a negative Λ turns out to be incompatibl
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12

Mittal, Nehal, P. Marios Petropoulos, David Rivera-Betancour, and Matthieu Vilatte. "Ehlers, Carroll, charges and dual charges." Journal of High Energy Physics 2023, no. 7 (2023). http://dx.doi.org/10.1007/jhep07(2023)065.

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Abstract We unravel the boundary manifestation of Ehlers’ hidden Möbius symmetry present in four-dimensional Ricci-flat spacetimes that enjoy a time-like isometry and are Petrov-algebraic. This is achieved in a designated gauge, shaped in the spirit of flat holography, where the Carrollian three-dimensional nature of the null conformal boundary is manifest and covariantly implemented. The action of the Möbius group is local on the space of Carrollian boundary data, among which the Carrollian Cotton tensor plays a predominent role. The Carrollian and Weyl geometric tools introduced for shaping
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13

Saha, Amartya. "Carrollian approach to 1 + 3D flat holography." Journal of High Energy Physics 2023, no. 6 (2023). http://dx.doi.org/10.1007/jhep06(2023)051.

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Abstract The isomorphism between the (extended) BMS4 algebra and the 1 + 2D Carrollian conformal algebra hints towards a co-dimension one formalism of flat holography with the field theory residing on the null-boundary of the asymptotically flat space-time enjoying a 1 + 2D Carrollian conformal symmetry. Motivated by this fact, we study the general symmetry properties of a source-less 1 + 2D Carrollian CFT, adopting a purely field-theoretic approach. After deriving the position-space Ward identities, we show how the 1 + 3D bulk super-translation and the super-rotation memory effects emerge fro
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14

Stieberger, Stephan, Tomasz R. Taylor, and Bin Zhu. "Carrollian Amplitudes from Strings." Journal of High Energy Physics 2024, no. 4 (2024). http://dx.doi.org/10.1007/jhep04(2024)127.

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Abstract Carrollian holography is supposed to describe gravity in four-dimensional asymptotically flat space-time by the three-dimensional Carrollian CFT living at null infinity. We transform superstring scattering amplitudes into the correlation functions of primary fields of Carrollian CFT depending on the three-dimensional coordinates of the celestial sphere and a retarded time coordinate. The power series in the inverse string tension is converted to a whole tower of both UV and IR finite descendants of the underlying field-theoretical Carrollian amplitude. We focus on four-point amplitude
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15

Lipstein, Arthur, Romain Ruzziconi, and Akshay Yelleshpur Srikant. "Towards a flat space Carrollian hologram from AdS4/CFT3." Journal of High Energy Physics 2025, no. 6 (2025). https://doi.org/10.1007/jhep06(2025)073.

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Abstract Finding a concrete example holography in four dimensional asymptotically flat space is an important open problem. A natural strategy is to take the flat space limit of the celebrated AdS4/CFT3 correspondence, which relates M-theory in AdS4×S7 to a certain superconformal Chern-Simons-matter theory known as the ABJM theory. In this limit, the boundary of AdS4 becomes null infinity and the ABJM theory should exhibit an emergent superconformal Carrollian symmetry. We investigate this possibility by matching the Carrollian limit of ABJM correlators with four-dimensional supergravity amplit
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16

Bagchi, Arjun, Daniel Grumiller, and Poulami Nandi. "Carrollian superconformal theories and super BMS." Journal of High Energy Physics 2022, no. 5 (2022). http://dx.doi.org/10.1007/jhep05(2022)044.

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Abstract We investigate the supersymmetric versions of Bondi-Metzner-Sachs or, equivalently, conformal Carroll symmetry in boundary dimensions d > 3, with applications of flat space holography in mind. We identify the contraction of the relativistic symmetry relevant for our purposes and construct a finite-dimensional Carrollian superconformal algebra (CSA) before proposing an infinite-dimensional lift. We provide the superspace formulation for $$ \mathcal{N} $$ N = 1 CSA and work towards an understanding of the representation theory of the algebra. We conclude with some aspects of $$ \math
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17

Petropoulos, Marios, Simon Schulz, and Grigalius Taujanskas. "One‐dimensional Carrollian fluids III: Global existence and weak continuity in L∞$L^\infty$." Journal of the London Mathematical Society 111, no. 6 (2025). https://doi.org/10.1112/jlms.70186.

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AbstractThe Carrollian fluid equations arise as the limit of the relativistic fluid equations and have recently experienced a surge of activity in the flat‐space holography community. However, the rigorous mathematical well‐posedness theory for these equations does not appear to have been previously studied. This paper is the third in a series in which we initiate the systematic analysis of the Carrollian fluid equations. In the present work, we prove the global‐in‐time existence of bounded entropy solutions to the isentropic Carrollian fluid equations in one spatial dimension for a particular
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18

Chen, Bin, and Zezhou Hu. "Bulk reconstruction in flat holography." Journal of High Energy Physics 2024, no. 3 (2024). http://dx.doi.org/10.1007/jhep03(2024)064.

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Abstract In this note, we discuss the bulk reconstruction of massless free fields in flat space from the highest-weight representation of boundary Carrollian conformal field theory (CCFT). We expand the bulk field as a sum of infinite descendants of a primary state defined in the boundary CCFT, and discuss the Lorentz invariant bulk-boundary propagator in detail for the BMS3/CCFT2 case. In our calculation, it is necessary to introduce a nonzero mass at the beginning and take it as vanishing at the end. The framework we proposed has the potential to probe local bulk physics from the boundary CC
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19

Kasikci, Oguzhan, Mehmet Ozkan, Yi Pang, and Utku Zorba. "Carrollian supersymmetry and SYK-like models." Physical Review D 110, no. 2 (2024). http://dx.doi.org/10.1103/physrevd.110.l021702.

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This work challenges the conventional notion that in a spacetime dimension higher than one, a supersymmetric Lagrangian invariably consists of purely bosonic terms, purely fermionic terms, as well as boson-fermion mixing terms. By recasting a relativistic Lagrangian in terms of its nonrelativistic and ultrarelativistic sectors, we reveal that an ultrarelativistic (Carrollian) supersymmetric Lagrangian exhibits an exotic feature; that is, it can exist without a purely bosonic contribution. Based on this result, we demonstrate a link between higher-dimensional Carrollian and (0+1)-dimensional qu
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20

Figueroa-O’Farrill, José, Emil Have, Stefan Prohazka, and Jakob Salzer. "Carrollian and celestial spaces at infinity." Journal of High Energy Physics 2022, no. 9 (2022). http://dx.doi.org/10.1007/jhep09(2022)007.

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Abstract We show that the geometry of the asymptotic infinities of Minkowski spacetime (in d + 1 dimensions) is captured by homogeneous spaces of the Poincaré group: the blow-ups of spatial (Spi) and timelike (Ti) infinities in the sense of Ashtekar-Hansen and a novel space Ni fibering over $$ \mathcal{I} $$ I . We embed these spaces à la Penrose-Rindler into a pseudo-euclidean space of signature (d + 1, 2) as orbits of the same Poincaré subgroup of O(d + 1, 2). We describe the corresponding Klein pairs and determine their Poincaré-invariant structures: a carrollian structure on Ti, a pseudo-c
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21

Bhattacharyya, Arpan, and Poulami Nandi. "Circuit complexity for Carrollian Conformal (BMS) field theories." Journal of High Energy Physics 2023, no. 7 (2023). http://dx.doi.org/10.1007/jhep07(2023)105.

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Abstract We systematically explore the construction of Nielsen’s circuit complexity to a non-Lorentzian field theory keeping in mind its connection with flat holography. We consider a 2d boundary field theory dual to 3d asymptotically flat spacetimes with infinite-dimensional BMS3 as the asymptotic symmetry algebra. We compute the circuit complexity functional in two distinct ways. For the Virasoro group, the complexity functional resembles the geometric action on its co-adjoint orbit. Using the limiting approach on the relativistic results, we show that it is possible to write BMS complexity
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22

Poulias, Georgios, and Stefan Vandoren. "On Carroll partition functions and flat space holography." Journal of High Energy Physics 2025, no. 6 (2025). https://doi.org/10.1007/jhep06(2025)232.

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Abstract We continue the study of Carroll limits on partition functions of relativistic conformal theories and their thermodynamics. By introducing imaginary chemical potentials v conjugate to momenta, one can access and study the Carroll regime in which v ≫ c. We analyze examples of free massless particles, 2d CFTs and some free field theories in d spatial dimensions. For 2d holographic CFTs, we revisit and clarify further the connection between the Carroll limit and the flat space limit of BTZ black holes. The general picture, valid in any dimension, is that, starting from AdS/CFT, the bound
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23

Alday, Luis F., Maria Nocchi, Romain Ruzziconi, and Akshay Yelleshpur Srikant. "Carrollian amplitudes from holographic correlators." Journal of High Energy Physics 2025, no. 3 (2025). https://doi.org/10.1007/jhep03(2025)158.

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Abstract Carrollian amplitudes are flat space amplitudes written in position space at null infinity which can be re-interpreted as correlators in a putative dual Carrollian CFT. We argue that these amplitudes are the natural objects obtained in the flat space limit of AdS Lorentzian boundary correlators. The flat limit is taken entirely in position space by introducing Bondi coordinates in the bulk. From the bulk perspective, this procedure makes it manifest that the flat limit of any Witten diagram is the corresponding flat space Feynman diagram. It also makes explicit the fact that the flat
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24

Bekaert, Xavier, Andrea Campoleoni, and Simon Pekar. "Holographic Carrollian conformal scalars." Journal of High Energy Physics 2024, no. 5 (2024). http://dx.doi.org/10.1007/jhep05(2024)242.

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Abstract We provide holographic realisations in Minkowski spacetime of a free conformal Carrollian scalar field living at null infinity. To this end, we first show that the electric and magnetic limits of a relativistic conformal scalar are equivalent and we study the representation of the Carroll, Poincaré and BMS algebras that is realised on the resulting solution space. We then realise it as a quotient of the solution space of a free massless scalar in Minkowski spacetime with unusual falloff, in full analogy with the interpretation of Dirac’s singleton as a shortened scalar in Anti de Sitt
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25

Ruzziconi, Romain, and Amartya Saha. "Holographic Carrollian currents for massless scattering." Journal of High Energy Physics 2025, no. 1 (2025). https://doi.org/10.1007/jhep01(2025)169.

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Abstract We show that the Ward identities of a Carrollian CFT stress tensor at null infinity reproduce the leading and subleading soft graviton theorems for massless scattering in the bulk. We deduce the expressions of the stress tensor components in terms of the bulk radiative modes, and these components turn out to be local at $$ \mathcal{I} $$ I in terms of the twistor potentials. This analysis makes the correspondence between the large-time limit of Carrollian amplitudes and the soft limit of momentum space amplitudes manifest. We then construct Carrollian CFT currents from the ascendants
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26

Banerjee, Aritra, Rudranil Basu, Arpan Bhattacharyya, and Nilachal Chakrabarti. "Symmetry resolution in non-Lorentzian field theories." Journal of High Energy Physics 2024, no. 6 (2024). http://dx.doi.org/10.1007/jhep06(2024)121.

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Abstract Starting from the computation of Symmetry Resolved Entanglement Entropy (SREE) for boosted intervals in a two dimensional Conformal Field Theory, we compute the same in various non-Lorentzian limits, viz, Galilean and Carrollian Conformal Field Theory in same number of dimensions. We approach the problem both from a limiting perspective and by using intrinsic symmetries of respective non-Lorentzian conformal algebras. In particular, we calculate the leading order terms, logarithmic terms, and the $$ \mathcal{O}(1) $$ O 1 terms and explicitly show exact compliance with equipartition of
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27

Anonymous. "Carrollian amplitudes and holographic correlators in AdS 3 /CFT 2." Physical Review D, July 5, 2025. https://doi.org/10.1103/7t4n-7c6j.

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28

Ciambelli, Luca, Charles Marteau, P. Marios Petropoulos, and Romain Ruzziconi. "Gauges in three-dimensional gravity and holographic fluids." Journal of High Energy Physics 2020, no. 11 (2020). http://dx.doi.org/10.1007/jhep11(2020)092.

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Abstract Solutions to Einstein’s vacuum equations in three dimensions are locally maximally symmetric. They are distinguished by their global properties and their investigation often requires a choice of gauge. Although analyses of this sort have been performed abundantly, several relevant questions remain. These questions include the interplay between the standard Bondi gauge and the Eddington-Finkelstein type of gauge used in the fluid/gravity holographic reconstruction of these spacetimes, as well as the Fefferman-Graham gauge, when available i.e. in anti de Sitter. The goal of the present
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29

Campoleoni, Andrea, Luca Ciambelli, Arnaud Delfante, Charles Marteau, P. Marios Petropoulos, and Romain Ruzziconi. "Holographic Lorentz and Carroll frames." Journal of High Energy Physics 2022, no. 12 (2022). http://dx.doi.org/10.1007/jhep12(2022)007.

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Abstract Relaxing the Bondi gauge, the solution space of three-dimensional gravity in the metric formulation has been shown to contain an additional free function that promotes the boundary metric to a Lorentz or Carroll frame, in asymptotically AdS or flat spacetimes. We pursue this analysis and show that the solution space also admits a finite symplectic structure, obtained taking advantage of the built-in ambiguities. The smoothness of the flat limit of the AdS symplectic structure selects a prescription in which the holographic anomaly appears in the boundary Lorentz symmetry, that rotates
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30

Grumiller, Daniel, and Max Riegler. "Carrollian c functions and flat space holographic RG flows in BMS3/CCFT2." Physical Review D 108, no. 12 (2023). http://dx.doi.org/10.1103/physrevd.108.126008.

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