A bulk construction in asymptotically flat higher-spin gravity realizes Carrollian free fields and Miura transformations via generalized boundary conditions and screening charges.
Free-field realisations of the BMS$_3$ algebra and its extensions
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abstract
We construct an explicit realisation of the BMS$_3$ algebra with nonzero central charges using holomorphic free fields. This can be extended by the addition of chiral matter to a realisation having arbitrary values for the two independent central charges. Via the introduction of additional free fields, we extend our construction to the minimally supersymmetric BMS$_3$ algebra and to the nonlinear higher-spin BMS$_3$-W$_3$ algebra. We also describe an extended system that realises both the SU(2) current algebra as well as BMS$_3$ via the Wakimoto representation, though in this case introducing a central extension also brings in new non-central operators.
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A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
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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.