Duality defects in E 8

Burbano IM, Kulp J, Neuser J (2022)

Publication Type: Journal article

Publication year: 2022


Book Volume: 2022

Article Number: 186

Journal Issue: 10

DOI: 10.1007/JHEP10(2022)187


We classify all non-invertible Kramers-Wannier duality defects in the E8 lattice Vertex Operator Algebra (i.e. the chiral (E8)1 WZW model) coming from ℤm symmetries. We illustrate how these defects are systematically obtainable as ℤ2 twists of invariant sub-VOAs, compute defect partition functions for small m, and verify our results against other techniques. Throughout, we focus on taking a physical perspective and highlight the important moving pieces involved in the calculations. Kac’s theorem for finite automorphisms of Lie algebras and contemporary results on holomorphic VOAs play a role. We also provide a perspective from the point of view of (2+1)d Topological Field Theory and provide a rigorous proof that all corresponding Tambara-Yamagami actions on holomorphic VOAs can be obtained in this manner. We include a list of directions for future studies.

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Burbano, I.M., Kulp, J., & Neuser, J. (2022). Duality defects in E 8. Journal of High Energy Physics, 2022(10). https://dx.doi.org/10.1007/JHEP10(2022)187


Burbano, Ivan M., Justin Kulp, and Jonas Neuser. "Duality defects in E 8." Journal of High Energy Physics 2022.10 (2022).

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