Exponentially small high-frequency corrections to holographic thermal correlators are computed from null geodesics reflecting at the black hole singularity, with numerically verified reflection coefficients.
Buri´ c, I
11 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Thermal two-point functions in holographic CFTs receive contributions from two parts. One part comes from the identity, the stress tensor and multi-stress tensors and constitutes the stress-tensor sector. The other part consists of contributions from double-trace operators. The sum of these two parts must satisfy the KMS condition -- it has to be periodic in Euclidean time. The stress-tensor sector can be computed by analyzing the bulk equations of motions near the AdS boundary and is not periodic by itself. We show that starting from the expression for the stress-tensor sector one can impose the KMS condition to fix the double-trace part, and hence the whole correlator. We perform explicit calculations in the asymptotic approximation, where the stress-tensor sector can be computed exactly. One can either sum over the thermal images of the stress-tensor sector and subtract the singularities or solve for the KMS condition directly and perform the Borel resummation of the resulting double-trace data -- the results are the same.
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Thermal double-twist OPE coefficients in a 4d holographic CFT are obtained individually as regulated momentum-space integrals of the AdS5 black-brane scalar response function, yielding new spin-resolved data at Δ=3/2.
Thermal inversion formulas produce asymptotically accurate CFT data for heavy operators that remains reliable at intermediate dimensions and survives first-order bulk interactions.
A bouncing singularity from a null geodesic sets the convergence of the QNM expansion for the Schwarzschild retarded Green's function.
Retarded correlators of bulk scalars and Wilson-line displacement operators exhibit bouncing singularities at t_c=β/2(1+i) with matching WKB and asymptotic OPE data, implying a universal high-frequency factorization.
Thermal two-point functions of scalar CFT operators at zero spatial separation are reconstructed from their discontinuities via Hurwitz zeta kernels, with OPE coefficients as the only dynamical input.
The large-N SYK thermal two-point function exhibits complex-time singularities—an effective-temperature pole and a subleading bouncing-geodesic-like singularity—that persist from infinite to zero temperature.
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.
A neural-network approach with dispersion relations handles infinite OPE towers in thermal conformal correlators without positivity.
Conformal ladder integrals are represented via thermal free energies of massive scalars, obey a second-order differential equation in even dimensions at any loop order, and admit an all-loop resummation for arbitrary D.
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