• Corpus ID: 17404067

A Topological Phase in a Quantum Gravity Model

  title={A Topological Phase in a Quantum Gravity Model},
  author={Michael H. Freedman},
  journal={arXiv: Strongly Correlated Electrons},
  • M. Freedman
  • Published 12 December 2008
  • Physics
  • arXiv: Strongly Correlated Electrons
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… 

Figures from this paper

Topological phases: An expedition off lattice
Abstract Motivated by the goal to give the simplest possible microscopic foundation for a broad class of topological phases, we study quantum mechanical lattice models where the topology of the
Homotopy Theoretic Classification of Symmetry Protected Phases
We classify a number of symmetry protected phases using Freed-Hopkins' homotopy theoretic classification. Along the way we compute the low-dimensional homotopy groups of a number of novel cobordism


From String Nets to Nonabelions
We discuss Hilbert spaces spanned by the set of string nets, i.e. trivalent graphs, on a lattice. We suggest some routes by which such a Hilbert space could be the low-energy subspace of a model of
  • Walker and Z. Wang, From string nets to nonabelions
  • 2006
Reviews of Modern Physics 77
  • p. 871
  • 2005
Physical Review Letters 63
  • 1989
  • Rev. Lett. 52, 1583
  • 1984
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1984
  • Rev. Lett. 49, 957
  • 1982
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1982
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1982