ISCOs mark coalescence points of center and saddle fixed points in black hole effective potentials, exhibiting van der Waals-like mean-field scaling, with corresponding negative and positive anomalous dimensions for center and saddle in the dual CFT.
Li,Notes on flat-space limit of AdS/CFT, JHEP 09 (2021) 027, [arXiv:2106.04606]
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abstract
Different frameworks exist to describe the flat-space limit of AdS/CFT, include momentum space, Mellin space, coordinate space, and partial-wave expansion. We explain the origin of momentum space as the smearing kernel in Poincare AdS, while the origin of latter three is the smearing kernel in global AdS. In Mellin space, we find a Mellin formula that unifies massless and massive flat-space limit, which can be transformed to coordinate space and partial-wave expansion. Furthermore, we also manage to transform momentum space to smearing kernel in global AdS, connecting all existed frameworks. Finally, we go beyond scalar and verify that $\langle VV\mathcal{O}\rangle$ maps to photon-photon-massive amplitudes.
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hep-th 9representative citing papers
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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Constructs bulk scalar field representations in Lorentzian AdS4 from boundary primaries via time-ordered propagators and derives their flat-space limits to plane-wave or Carrollian bases.
A uniformly moving charge's field is a static Coulomb field in geodesic-centered coordinates, and in AdS the same construction yields a closed-form field with exact antipodal covariance whose null-fringe limits give flat-space antipodal matching.
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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Criticality of ISCOs and AdS/CFT
ISCOs mark coalescence points of center and saddle fixed points in black hole effective potentials, exhibiting van der Waals-like mean-field scaling, with corresponding negative and positive anomalous dimensions for center and saddle in the dual CFT.
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The gravitational S-matrix from the path integral: asymptotic symmetries and soft theorems
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QFT as a set of ODEs
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Radiation in Fluid/Gravity and the Flat Limit
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On bulk reconstruction in Lorentzian AdS and its flat space limit
Constructs bulk scalar field representations in Lorentzian AdS4 from boundary primaries via time-ordered propagators and derives their flat-space limits to plane-wave or Carrollian bases.
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Li\'enard--Wiechert fields in AdS and flat-space antipodal matching from geodesic-centered Coulombic data
A uniformly moving charge's field is a static Coulomb field in geodesic-centered coordinates, and in AdS the same construction yields a closed-form field with exact antipodal covariance whose null-fringe limits give flat-space antipodal matching.
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The Carrollian Kaleidoscope
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