A Topological Phase in a Quantum Gravity Model

Details A Topological Phase in a Quantum Gravity Model A Topological Phase in a Quantum Gravity Model

2008-12-12

arxiv.org/abs/0812.2278v1

Physics

Condensed Matter

Strongly Correlated Electrons

A talk at Solvay conference October, 2008

Scientific paper

I would claim that we do not have a suitably general definition of what a topological phase is, or more importantly, any robust understanding of how to enter one even in the world of mathematical models. The latter is, of course, the more important issue and the main subject of this note. But a good definition can sharpen our thinking and a poor definition can misdirect us. I will not attempt a final answer here but merely comment on the strengths and weaknesses of possible definitions and argue for some flexibility. In particular, I describe a rather simple class of ``quantum gravity'' models which are neither lattice nor field theoretic but appear to contain strong candidates for topological phases.

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