I have studied topological phases of matter using tools from high energy theory as well as condensed matter theory. The relationship between topological quantum field theory (TQFT) and lattice models of gapped phases, the map from interacting symmetry-protected topological (SPT) phases to free fermionic SPT phases, and the relationship between bulk SPT phases and protected boundary degrees of freedom are some of the topics I have worked on. A list of topics I am working on include: generalizing the constraint on boundary degrees of freedom from bulk phases to higher dimensions; studying 2d boundary conditions -- both gapped and gapless -- with anomalies arising from non-inveritble 3d TQFTs, including symmetry-enriched 2+1d phases; and applications of non-invertible line operators corresponding to non-abelian anyons in 2 + 1 dimensions.

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  279-1474

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  minyoung.you@apctp.org

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  522

  522

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  Condensed Matter Physics & Particle Physics/Quantum Field Theory

  Condensed Matter Physics & Particle Physics/Quantum Field Theory