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Black Hole Singularity from OPE

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Black hole singularities leave distinct imprints on holographic correlators, traceable to bouncing geodesics: null geodesics that begin on one boundary of an eternal AdS black hole, reflect off the singularity, and reach the opposite boundary. Using the Operator Product Expansion (OPE), I will show that singularities in the stress-tensor sector of the holographic correlator occur precisely at positions predicted by these geodesics, establishing a direct connection between black hole singularities and the analytic structure of holographic correlators. I will also discuss how complexified geodesics—crucial for capturing the full correlator—correspond to contributions from double-trace operators in the CFT . If time permits, I will outline ongoing extensions to charged black holes, whose richer causal structure offers new insights into these holographic signatures.

This talk is part of the Quantum Fields and Strings Seminars series.

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