Integrability vs. Information Loss: A Simple Example

Details Integrability vs. Information Loss: A Simple Example Integrability vs. Information Loss: A Simple Example

2006-02-24

arxiv.org/abs/hep-th/0602263v1

JHEP0611:001,2006

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX

Scientific paper

10.1088/1126-6708/2006/11/001

The half-BPS sector of Yang-Mills theory with 16 supercharges is integrable: there is a set of commuting conserved charges, whose eigenvalues can completely identify a state. We show that these charges can be measured in the dual gravitational description from asymptotic multipole moments of the spacetime. However, Planck scale measurements are required to separate the charges of different microstates. Thus, semiclassical observers making coarse-grained measurements necessarily lose information about the underlying quantum state.

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