Alladi Ramakrishnan Hall

Algebras and Emergent times

Krishna Jalan

IMSc

I will be discussing the boundary construction of an evolution operator for the infalling observer in the eternal AdS black hole geometry. This is an emergent evolution in the large N limit of the boundary theory. In the large N limit there is an emergent type III von Neumann algebra, from the type I boundary operator algebra, and the associated half-sided modular translation structure describes the infalling time evolution.