No.39 IF Colloquium – Emergent factorization of Hilbert space at large N and black holes

Speaker: Dr. Debangshu Mukherjee
Venue: Academia Room (TA212), 2nd Floor, Mahadhammaraja A Building

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 a thermofield double (TFD) state from a specific fine-tuned state of the original theory. Based on this toy model, I will make some speculative comments on recent progress in the black hole information paradox, including black hole complementarity, the island conjecture, and holography of information.

Keywords

Black Hole Information Paradox • Hilbert Space Factorization • Cosmological Expansion