Spin TQFTs and fermionic phases of matter

@inproceedings{Gaiotto2016SpinTA,
  title={Spin TQFTs and fermionic phases of matter},
  author={Davide Gaiotto and Anton Kapustin},
  year={2016}
}
  • Davide Gaiotto, Anton Kapustin
  • Published 2016
  • Physics, Mathematics
  • We study lattice constructions of gapped fermionic phases of matter. We show that the construction of fermionic Symmetry Protected Topological orders by Gu and Wen has a hidden dependence on a discrete spin structure on the Euclidean space-time. The spin structure is needed to resolve ambiguities which are otherwise present. An identical ambiguity is shown to arise in the fermionic analog of the string-net construction of 2D topological orders. We argue that the need for a spin structure is a… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 43 CITATIONS

    On gapped boundaries for SPT phases beyond group cohomology

    VIEW 9 EXCERPTS
    CITES METHODS & BACKGROUND
    HIGHLY INFLUENCED

    Pin TQFT and Grassmann integral

    VIEW 12 EXCERPTS
    CITES METHODS & BACKGROUND
    HIGHLY INFLUENCED

    Spin topological field theory and fermionic matrix product states

    VIEW 9 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Quantization of super Teichmüller spaces

    VIEW 6 EXCERPTS
    CITES RESULTS
    HIGHLY INFLUENCED

    Fermionic SPT phases in higher dimensions and bosonization

    VIEW 10 EXCERPTS
    CITES RESULTS, BACKGROUND & METHODS
    HIGHLY INFLUENCED

    Unoriented 3d TFTs

    VIEW 4 EXCERPTS
    CITES METHODS & BACKGROUND
    HIGHLY INFLUENCED

    Abelian Topological Order on Lattice with Electromagnetic Background

    VIEW 10 EXCERPTS
    CITES BACKGROUND & METHODS
    HIGHLY INFLUENCED

    Fermi/Pauli Duality in Arbitrary Dimension

    VIEW 6 EXCERPTS
    CITES BACKGROUND & METHODS
    HIGHLY INFLUENCED

    Bosonization in three spatial dimensions and a 2-form gauge theory

    VIEW 3 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    References

    Publications referenced by this paper.