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On Carroll partition functions and flat space holography
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On Carroll partition functions and flat space holography
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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 $v\gg c$. 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 boundary Carrollian field theory lives on the horizon of a large black hole in AdS, which is pushed to the null boundary in the flat space limit.
Forward citations
Cited by 10 Pith papers
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BMS$_3$ invariant field theories
New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.
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Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
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Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian limit of extended AdS first law is reinterpreted as double-scaled large-N low-temperature holographic ensemble with finite products, new boundary stress tensor, and celestial correlator representations.
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Post-Carroll Algebra, Conformal Extensions, and Field Theories
Introduces the post-Carroll algebra and its conformal extensions, including the Carroll-Schrödinger algebra, and computes two-point functions in post-Carrollian CFTs.
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Kerroll black holes
Rotating black holes are constructed in magnetic Carroll gravity, including an intrinsically Carrollian dressed solution and a Kerroll black hole from an odd-power c-expansion of GR, with conserved charges computed.
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Kerroll black holes
Rotating black holes are constructed in Carroll gravity via connection freedom and an odd-power GR expansion, yielding an intrinsically Carrollian rotating solution and the Kerroll black hole analog.
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The gravitational S-matrix from the path integral: asymptotic symmetries and soft theorems
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
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Massive fields in 3D Minkowski space and boundary correlators
The work identifies a broader class of 2D Carrollian CFT correlators that encode massive 3D Minkowski S-matrices and constructs the corresponding bulk-to-boundary propagator.
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Post-Carroll Algebra, Conformal Extensions, and Field Theories
Defines post-Carroll algebra allowing central charges in higher dimensions, constructs its conformal extension and the Carroll-Schrödinger algebra matching prior theory, and derives two-point functions in post-Carroll...
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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.
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