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.
Projective and Carrollian geometry at time/space-like infinity on projectively compact Ricci flat Einstein manifolds
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Defines Ti and Spi extended boundaries from asymptotic metric data in Ashtekar-Romano asymptotically flat spacetimes, equipping them with Carrollian geometries that canonically match asymptotic symmetries and realize Strominger conditions via discrete symmetry restriction.
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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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Ti and Spi, Carrollian extended boundaries at timelike and spatial infinity
Defines Ti and Spi extended boundaries from asymptotic metric data in Ashtekar-Romano asymptotically flat spacetimes, equipping them with Carrollian geometries that canonically match asymptotic symmetries and realize Strominger conditions via discrete symmetry restriction.