A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.
Figueroa-O’Farrill, E
5 Pith papers cite this work. Polarity classification is still indexing.
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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 Poincar\'e group: the blow-ups of spatial (Spi) and timelike (Ti) infinities in the sense of Ashtekar--Hansen and a novel space Ni fibering over $\mathscr{I}$. We embed these spaces \`a la Penrose--Rindler into a pseudo-euclidean space of signature $(d+1,2)$ as orbits of the same Poincar\'e subgroup of O$(d+1,2)$. We describe the corresponding Klein pairs and determine their Poincar\'e-invariant structures: a carrollian structure on Ti, a pseudo-carrollian structure on Spi and a "doubly-carrollian" structure on Ni. We give additional geometric characterisations of these spaces as grassmannians of affine hyperplanes in Minkowski spacetime: Spi is the (double cover of the) grassmannian of affine lorentzian hyperplanes; Ti is the grassmannian of affine spacelike hyperplanes and Ni fibers over the grassmannian of affine null planes, which is $\mathscr{I}$. We exhibit Ni as the fibred product of $\mathscr{I}$ and the lightcone over the celestial sphere. We also show that Ni is the total space of the bundle of scales of the conformal carrollian structure on $\mathscr{I}$ and show that the symmetry algebra of its doubly-carrollian structure is isomorphic to the symmetry algebra of the conformal carrollian structure on $\mathscr{I}$; that is, the BMS algebra. We show how to reconstruct Minkowski spacetime from any of its asymptotic geometries, by establishing that points in Minkowski spacetime parametrise certain lightcone cuts in the asymptotic geometries. We include an appendix comparing with (A)dS and observe that the de Sitter groups have no homogeneous spaces which could play the r\^ole that the celestial sphere plays in flat space holography.
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Free Carrollian quantum field theories admit well-defined vacuum and KMS states via algebraic methods, with massless theories requiring nonregular states whose Hilbert spaces factorize into Fock and nonseparable zero-mode sectors relevant for flat space holography.
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
Constructs Carrollian OPEs that govern short-distance behavior, extends representation theory for composites, and classifies 2-, 3-, and 4-point correlators/amplitudes under Carrollian symmetry.
citing papers explorer
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The Energy-Momentum-News Complex near Future Null Infinity
A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.
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Carrollian quantum states and flat space holography
Free Carrollian quantum field theories admit well-defined vacuum and KMS states via algebraic methods, with massless theories requiring nonregular states whose Hilbert spaces factorize into Fock and nonseparable zero-mode sectors relevant for flat space holography.
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Radiation in Fluid/Gravity and the Flat Limit
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
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Operator Product Expansion in Carrollian CFT
Constructs Carrollian OPEs that govern short-distance behavior, extends representation theory for composites, and classifies 2-, 3-, and 4-point correlators/amplitudes under Carrollian symmetry.
- Topics in Celestial holography: A bottom-up perspective