Singularities of thermal correlators at strong coupling

Abstract

We analyze the singularities of the two-point function in a conformal field theory at finite temperature. In a free theory, the only singularity is along the boundary light cone. In the holographic limit, a new class of singularities emerges since two boundary points can be connected by a nontrivial null geodesic in the bulk, encircling the photon sphere of the black hole. We show that these new singularities are resolved by tidal effects due to the black hole curvature, by solving the string worldsheet theory in the Penrose limit. Singularities in the asymptotically flat black hole geometry are also discussed.

arXiv comment26 pages; minor corrections, references added

References in corpus (16)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• On the Geometry of the String Landscape and the Swampland
• The Black Hole Singularity in AdS/CFT
• Local bulk S-matrix elements and CFT singularities
• Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)
• The Conformal Bootstrap at Finite Temperature
• Gravitational effects in ultrahigh-energy string scattering
• Bulk-cone singularities & signatures of horizon formation in AdS/CFT
• Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums
• High-energy string-brane scattering: leading eikonal and beyond
• The Harder They Fall, the Bigger They Become: Tidal Trapping of Strings by Microstate Geometries
• AdS black holes as reflecting cavities
• Supersymmetric Giant Graviton Solutions in AdS_3
• Black hole singularity in AdS/CFT
• The High Energy Behavior of Mellin Amplitudes
• A view of the bulk from the worldline

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• Looking for (and not finding) a bulk brane
• Holographic Correlators at Finite Temperature
• Thermal correlation functions in CFT and factorization
• Black hole bulk-cone singularities
• WGC as WCCC protector: The Synergistic Effects of various Parameters in Identifying WGC candidate Models
• Holographic thermal correlators revisited
• Tidal excitation as mixing in thermal CFT
• Ringdown in the SYK model
• Stringy Forces in the Black Hole Interior
• pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes
• Tidal Forces in Kerr-AdS and Grey Galaxies
• AdS gravastar and bulk-cone singularities
• Finite Temperature at Finite Places
• Non-Negativity of BMN Two-Point Functions With Three String Modes
• Bulk-cone singularities and echoes from AdS exotic compact objects
• AdS gravastar and its signatures from dual conformal field theory