Two-dimensional higher-spin gravity with vanishing cosmological constant contains an infinite collection of scalar fields with continuously increasing masses arising from the twisted coadjoint representation of an infinite-dimensional algebra.
BMS Modules in Three Dimensions
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abstract
We build unitary representations of the BMS algebra and its higher-spin extensions in three dimensions, using induced representations as a guide. Our prescription naturally emerges from an ultrarelativistic limit of highest-weight representations of Virasoro and W algebras, which is to be contrasted with non-relativistic limits that typically give non-unitary representations. To support this dichotomy, we also point out that the ultrarelativistic and non-relativistic limits of generic W algebras differ in the structure of their non-linear terms.
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A bulk construction in asymptotically flat higher-spin gravity realizes Carrollian free fields and Miura transformations via generalized boundary conditions and screening charges.
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
citing papers explorer
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Higher-Spin Gravity in Two Dimensions with Vanishing Cosmological Constant
Two-dimensional higher-spin gravity with vanishing cosmological constant contains an infinite collection of scalar fields with continuously increasing masses arising from the twisted coadjoint representation of an infinite-dimensional algebra.
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Holographic realization of higher-spin Carrollian free fields
A bulk construction in asymptotically flat higher-spin gravity realizes Carrollian free fields and Miura transformations via generalized boundary conditions and screening charges.
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The Carrollian Kaleidoscope
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.