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Explore advanced concepts in quantum gravity through this 42-minute conference talk examining a fundamental puzzle in Jackiw-Teitelboim (JT) supergravity coupled to matter. Delve into the Lin-Maldacena-Rozenberg-Shan puzzle where the one-sided entropy of a two-sided black hole becomes negative when computed using bulk techniques in the presence of multiple matter operator insertions. Learn how this issue arises specifically when calculating annealed rather than quenched entropies and discover the resolution through semi-quenched entropy methods. Understand the crucial role of higher-genus topologies and wormhole effects from the bulk perspective, including the necessary re-summation of genus expansion in bulk matter diagrams. Examine the matrix model perspective where the solution depends on eigenvalue statistics near the edge, governed by either the Airy distribution or eigenvalue instantons in different regimes. Gain insights into a newly discovered equivalence between many-point correlators in JT gravity with matter and pure JT gravity partition functions at low temperature, along with its matrix model origins. Follow the extension of these concepts from the original LMRS setup to non-supersymmetric JT gravity, providing a comprehensive understanding of entropy positivity in quantum black hole physics.
