Physics Seminar Date: Thursday, 2 May 2024 Time: 2:00 PM Venue: Online Emergent factorization of Hilbert space at large N and black hole Debangshu Mukherjee Asia Pacific Center for Theoretical Physics (APCTP), Pohang, South Korea. 02-05-24 Abstract In this talk, I will discuss the emergent factorization of Hilbert space in the low-energy description of matrix models and its implications for the black hole information paradox. I will explain the motivation of our work based on the black hole information paradox. Subsequently, I will present the collective description of the low-energy sector of the two classes of matrix models we consider--SU(N) matrix models and U(N) matrix models. The factorization of the Hilbert space in this effective low-energy sector leads us to examine the emergence of thermofield dynamics (TFD) state from a specific fine-tuned state of the original theory. Based on this toy model, I will make some comments on the recent progress in the black hole information paradox: black hole complementarity, the island conjecture and holography of information.
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