Looking beyond the Thermal Horizon: Hidden Symmetries in Chiral Models

Bert Schroer, Hans-Werner Wiesbrock
January 10, 1999
In thermal states of chiral theories, as recently investigated by H.-J. Borchers and J. Yngvason, there exists a rich group of hidden symmetries. Here we show that this leads to a radical converse of of the Hawking-Unruh observation in the following sense. The algebraic commutant of the algebra associated with a (heat bath) thermal chiral system can be used to reprocess the thermal system into a ground state system on a larger algebra with a larger localization space-time. This happens in such a way that the original system appears as a kind of generalized Unruh restriction of the ground state sytem and the thermal commutant as being transmutated into newly created ``virgin space-time region'' behind a horizon. The related concepts of a ``chiral conformal core'' and the possibility of a ``blow-up'' of the latter suggest interesting ideas on localization of degrees of freedom with possible repercussion on how to define quantum entropy of localized matter content in Local Quantum Physics.
open access link
@article{Schroer:1998pj, author = "Schroer, B. and Wiesbrock, H. W.", title = "{Looking beyond the thermal horizon: Hidden symmetries in chiral models}", journal = "Rev. Math. Phys.", volume = "12", year = "2000", pages = "461-473", doi = "10.1142/S0129055X00000162", eprint = "hep-th/9901031", archivePrefix = "arXiv", primaryClass = "hep-th", SLACcitation = "%%CITATION = HEP-TH/9901031;%%" }

Keywords: 
chiral models, thermal states, converse Unruh effect