Abstract
Abstract
Recently Leutheusser and Liu [1, 2] identified an emergent algebra of Type III1 in the operator algebra of $$ \mathcal{N} $$
N
= 4 super Yang-Mills theory for large N. Here we describe some 1/N corrections to this picture and show that the emergent Type III1 algebra becomes an algebra of Type II∞. The Type II∞ algebra is the crossed product of the Type III1 algebra by its modular automorphism group. In the context of the emergent Type II∞ algebra, the entropy of a black hole state is well-defined up to an additive constant, independent of the state. This is somewhat analogous to entropy in classical physics.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference25 articles.
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