Built on

R. Thorngren and Y. Wang, “Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases,” arXiv:1912.02817 [hep-th]
Original
1912
Earlier work this paper cites.
E. P. Verlinde, “Fusion Rules and Modular Transformations in 2D Conformal Field Theory,” Nucl. Phys. B
1988
Earlier work this paper cites.
T. Banks and L. J. Dixon, “Constraints on String Vacua with Space-Time Supersymmetry,” Nucl. Phys. B
1988
Earlier work this paper cites.
E. Witten, “Phase transitions in M theory and F theory,” Nucl. Phys. B
1996
Earlier work this paper cites.
V. B. Petkova and J. B. Zuber, “Generalized twisted partition functions,” Phys. Lett. B
2001
Earlier work this paper cites.
J. Fuchs, I. Runkel, and C. Schweigert, “TFT construction of RCFT correlators 1. Partition functions,” Nucl. Phys. B
2002
Earlier work this paper cites.
T. Rudelius and S.-H. Shao, “Topological Operators and Completeness of Spectrum in Discrete Gauge Theories,” JHEP
Original
2006
Earlier work this paper cites.
J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, “Duality and defects in rational conformal field theory,” Nucl. Phys. B
2007
Earlier work this paper cites.
D. Gaiotto and J. Kulp, “Orbifold groupoids,” JHEP
Original
2008
Earlier work this paper cites.

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2022

Non-Invertible Defects in 5d, Boundaries and Holography

Damia, Jeremias Aguilera, Argurio, Riccardo, Garcia-Valdecasas, Eduardo

Understand

We show that very simple theories of abelian gauge fields with a cubic Chern-Simons term in 5d have an infinite number of non-invertible co-dimension two defects.

They arise by dressing the symmetry operators of the broken electric 1-form symmetry with a suitable topological field theory, for any rational angle.
We further discuss the same theories in the presence of a 4d boundary, and more particularly in a holographic setting.
There we find that the bulk defects, when pushed to the boundary, have various different fates.

Built on

R. Thorngren and Y. Wang, “Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases,” arXiv:1912.02817 [hep-th]
Original
1912
Earlier work this paper cites.
E. P. Verlinde, “Fusion Rules and Modular Transformations in 2D Conformal Field Theory,” Nucl. Phys. B
1988
Earlier work this paper cites.
T. Banks and L. J. Dixon, “Constraints on String Vacua with Space-Time Supersymmetry,” Nucl. Phys. B
1988
Earlier work this paper cites.
E. Witten, “Phase transitions in M theory and F theory,” Nucl. Phys. B
1996
Earlier work this paper cites.
V. B. Petkova and J. B. Zuber, “Generalized twisted partition functions,” Phys. Lett. B
2001
Earlier work this paper cites.
J. Fuchs, I. Runkel, and C. Schweigert, “TFT construction of RCFT correlators 1. Partition functions,” Nucl. Phys. B
2002
Earlier work this paper cites.
T. Rudelius and S.-H. Shao, “Topological Operators and Completeness of Spectrum in Discrete Gauge Theories,” JHEP
Original
2006
Earlier work this paper cites.
J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, “Duality and defects in rational conformal field theory,” Nucl. Phys. B
2007
Earlier work this paper cites.
D. Gaiotto and J. Kulp, “Orbifold groupoids,” JHEP
Original
2008
Earlier work this paper cites.