PIRSA:25110104 Scientific Series Mathematical physics

DOI10.48660/25110104

Series: Mathematical Physics

Gammage, B. (2025). Fully Extended 3d Mirror Symmetry. Perimeter Institute. https://pirsa.org/25110104

Gammage, Benjamin. Fully Extended 3d Mirror Symmetry. Perimeter Institute, Nov. 25, 2025, https://pirsa.org/25110104 

@misc{ pirsa_PIRSA:25110104,
  doi = {10.48660/25110104},
  url = {https://pirsa.org/25110104},
  author = {Gammage, Benjamin},
  keywords = {Mathematical physics},
  language = {en},
  title = {Fully Extended 3d Mirror Symmetry},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {nov},
  note = {PIRSA:25110104 see, \url{https://pirsa.org}}
}

Abstract

3d N=4 gauge theories admit topological A- and B-twists; boundary conditions for these twisted theories are expected to form 2-categories. The 3d mirror symmetry duality should identify the A-twist of such a theory with a B-twist of a dual theory. This duality can be used to understand the A-side 2-category in terms of B-side 2-categories which are more well-understood mathematically. We will discuss some progress in describing these 2-categories and formulating 3d mirror symmetry as an equivalence of 2-categories. This is based on ongoing work with Justin Hilburn.

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