A hierarchy of approximations to the mutual information in CFTs is derived from modular flow and two-point functions of primaries, providing a high-precision formula for arbitrary ball separations that supersedes previous long-distance expansions.
Projectors, Shadows, and Conformal Blocks
8 Pith papers cite this work. Polarity classification is still indexing.
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Introduces weight-shifting matrices for de Sitter diagrams, generalized with Kronecker products to arbitrary tree-level graphs, to derive massless wavefunction coefficients from conformally coupled seeds.
Establishes correspondence between flat, thermal, and defect conformal partial waves via shadow formalism, obtaining thermal blocks from flat four-point and defect two-point functions and reducing the Casimir equation diagonally.
Restricting one helicity to the wedge sector and introducing shadow charges yields closed mixed-helicity algebras for all spins in gravity and gauge theory, plus dual mass BMS extensions and non-vanishing electromagnetic central charges.
A construction of embedding space three-point functions for arbitrary Lorentz representations via OPE tensor structures and group theory.
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.
Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
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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.