A precise mapping from the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator in strongly coupled N=4 SYM, with explicit flat-space and first curvature correction terms.
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Light-ray operators in conformal field theory
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abstract
We argue that every CFT contains light-ray operators labeled by a continuous spin J. When J is a positive integer, light-ray operators become integrals of local operators over a null line. However for non-integer J, light-ray operators are genuinely nonlocal and give the analytic continuation of CFT data in spin described by Caron-Huot. A key role in our construction is played by a novel set of intrinsically Lorentzian integral transforms that generalize the shadow transform. Matrix elements of light-ray operators can be computed via the integral of a double-commutator against a conformal block. This gives a simple derivation of Caron-Huot's Lorentzian OPE inversion formula and lets us generalize it to arbitrary four-point functions. Furthermore, we show that light-ray operators enter the Regge limit of CFT correlators, and generalize conformal Regge theory to arbitrary four-point functions. The average null energy operator is an important example of a light-ray operator. Using our construction, we find a new proof of the average null energy condition (ANEC), and furthermore generalize the ANEC to continuous spin.
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Energy correlators can convert scaling violations into angular bump hunting for new physics, yielding projected competitive LHC sensitivity for a light hadrophilic Z'.
Multiway AdS junctions dualize to factorized quantum maps on CFT interfaces, with scattering matrix fixed by junction tension and automorphisms from n-1 stringy modes, independent of background state.
A deformed Calogero model accommodates unitary principal series states of sl(2,R) via operator domain changes, preserving unitarity and invariance while altering integrability, with solutions for N=2 and 3.
Projections of four-point energy correlators cleanly separate spin from kinematic azimuthal correlations inside jets; spin effects are subdominant in accessible LHC kinematics.
Construction of first-class constraint systems for bosonic and fermionic continuous-spin fields in AdS_D that realize the so(2,D-1) algebra via Lie-Lorentz derivative and match Metsaev's Casimir classification.
Diagonalizing field operators before Pauli-string decomposition exponentially cuts circuit depth and Trotter errors in 2+1D scalar QFT simulations, with faster local-truncation convergence for Lorentzian energy-energy correlators than the Jordan-Lee-Preskill amplitude-basis method.
A prototype successfully upgrades low-order extremal flow solutions to high numerical order for gap maximization in a simple spinning modular bootstrap test case.
Linear power corrections in energy correlators have a universal anomalous scaling because the dijet operator must be combined with a triple-jet component at one-loop order.
A conformal map identifies the flat-space soft gluon S-algebra with light-ray operators built from CFT3 currents and their descendants in AdS4.
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
Replica analysis shows QNEC saturation in interacting CFTs with twist gap because only the stress-tensor defect operator produces the contact term in the n to 1 limit.
Standard low-energy quantum gravity via effective graviton QFT predicts interferometer length variations of order the Planck length (~10^{-35} m), with no divergences indicating breakdown.
Review of classical energy conditions, their quantum violations, and information-theoretic bounds for semi-classical gravity, based on Modave lectures.
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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