Boson topological insulators: A window into highly entangled quantum phases

Understand

We study several aspects of the realization of global symmetries in highly entangled phases of quantum matter.

• Examples include gapped topological ordered phases, gapless quantum spin liquids and non-fermi liquid phases.
• An insightful window into such phases is provided by recent developments in the theory of short ranged entangled Symmetry Protected Topological (SPT) phases .
• First they generate useful no-go constraints on how global symmetry may be implemented in a highly entangled phase.