Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · 2610.37554

Resurgence of Black Holes in Thermal OPE

Alba Grassi·Hewei Frederic Jia
View original source ↗Read source document ↗Export metadata ↓

Abstract

The momentum-space thermal OPE generically gives an asymptotic high-energy expansion of thermal two-point functions. We study the resurgent structure of this expansion in holographic CFTs at infinite and finite volume, whose dual bulk geometries are planar and spherical AdS black holes, respectively. The perturbative expansion is fixed to all orders by the stress-tensor sector of the thermal OPE and can be computed from a near-boundary analysis of the bulk wave equation. Non-perturbative effects, on the other hand, encode information about the bulk geometry away from the boundary. Using exact WKB analysis, we identify the locations of the associated Borel singularities as WKB actions between the AdS boundary and distinguished points in the complex radial plane, which include the black hole singularity in certain regimes. Furthermore, we identify a complex-frequency chamber in the timelike momentum regime where Borel resummation of the high-energy expansion reconstructs the full thermal two-point function. We further derive Stokes jumps that determine the non-perturbative contributions required upon crossing the boundary of this chamber.

Explore related subjects

hep-th

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Alba Grassi, Hewei Frederic Jia. 2026-10-27. Resurgence of Black Holes in Thermal OPE. https://arxiv.org/abs/2610.37554

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Symmetries and operators in $T\bar{T}$ deformed CFTs

$T\bar{T}$-deformed CFTs are known to possess nonlocal Virasoro$\times$Virasoro symmetries, whose currents depend on integration of the stress tensor. Unfortunately, these symmetries do not act in a tractable manner on the undeformed operators, which are defined by evolving local operators in the undeformed CFT on a constant-time slice using the deformed Hamiltonian. In this paper, we explicitly construct two distinct classes of operators: (i) dressed operators, which are primary with respect to the Virasoro$\times$Virasoro symmetries, and (ii) physical operators, a new type of operator that depends on fundamental fields at specific points and is therefore local at the classical level. While dressed operators preserve the conformal symmetry structure, they are themselves nonlocal in the sense that they depend on integrated quantities. Physical operators, by contrast, depend only on local fields. Moreover, physical operators can be expressed in terms of dressed operators, and this relation can be promoted to a definition of such operators at the quantum level. This enables the use of Virasoro$\times$Virasoro symmetries to systematically compute physical quantities such as correlation functions. We calculate the two-point correlation functions of these operators in momentum space and find that our results align with both string theory predictions and field theory calculations. Additionally, we explore the relationship between physical operators and alternative operator definitions proposed in the literature.

hep-th↗
arXiv2026

Gravitational form factors of the proton in the improved holographic QCD model

We compute the gluonic contribution to the gravitational form factors of the proton using the improved holographic QCD model, in which the proton is described in terms of bulk Dirac fermions. Model parameters are constrained using lattice and phenomenological input, allowing us to obtain estimates for the gravitational form factors and to compare them with results from other approaches. Using the extracted form factors, we analyze mechanical properties of the proton, including pressure and shear distributions. We obtain estimates for the mechanical and mass radii of the proton, $ρ_{\text{mech}} \approx 0.63$ fm, $ρ_{\text{mass}} \approx 0.65$ fm, and compare these values with radius estimates from other nonperturbative studies.

hep-th↗
arXiv2026

Beyond Discontinuities: Cosmological WFCs and the Supersymmetric Orthogonal Grassmannian

We construct an $\mathcal N=2$ supersymmetric Grassmannian representation of tree-level wavefunction coefficients (WFCs) by combining Grassmannian representations of energy discontinuities with an inversion formula. Since the orthogonal Grassmannian captures homogeneous solutions of the spinor conformal Ward identities, while current WFCs satisfy inhomogeneous Ward identities, the full WFC is obtained by reconstructing the energy-dependent prefactors from a basis of discontinuities. We first demonstrate this mechanism at three points, where the triple discontinuity determines the transverse current WFC and admits a supersymmetric uplift. At four points, we invert a spanning set of five current discontinuities and embed the result in momentum superspace using super-orthogonal-Grassmannian invariants generated by $\hatδ(CΩΞ^I)$. This yields the full four-point super WFC in Grassmannian form. We show that the two orthogonal-Grassmannian branches organize distinct supersymmetric invariants and reduce, in the flat-space limit, to different helicity superamplitudes.

hep-th↗