 Speaker:  Jonathan Engle

Title: 
A full quantum theory and its symmetry reduction 
Abstract: 
In loop quantum cosmology, a key issue regards the
relation of the reduced quantum model to the full quantum
theory. In the ideal scenario, the reduced model is
isomorphic to the ``symmetric sector'' of the full quantum
theory. We look at the case of a toy model: an axisymmetric
KleinGordon field. An important lesson from the
analysis of this toy model is that there is more than
one way to define the notion of ``symmetric sector''
at the quantum level. One of these notions of symmetry does
achieve the desired commutation of quantization and reduction,
in addition to having a number of other desireable properties.
I will discuss the relation of this notion of symmetry to
other possible notions, and discuss a couple different ways
it can be generalized to nonlinear theories.

Talk: 
Transparencies, Recorded Talk

 