PIRSA:15100066 Scientific Series Mathematical physics

DOI10.48660/15100066

Series: Mathematical Physics

Dimofte, T. (2015). Boundaries and D-modules in 3d N=4 theories. Perimeter Institute. https://pirsa.org/15100066

Dimofte, Tudor. Boundaries and D-modules in 3d N=4 theories. Perimeter Institute, Oct. 01, 2015, https://pirsa.org/15100066 

@misc{ pirsa_PIRSA:15100066,
  doi = {10.48660/15100066},
  url = {https://pirsa.org/15100066},
  author = {Dimofte, Tudor},
  keywords = {Mathematical physics},
  language = {en},
  title = {Boundaries and D-modules in 3d N=4 theories},
  publisher = {Perimeter Institute},
  year = {2015},
  month = {oct},
  note = {PIRSA:15100066 see, \url{https://pirsa.org}}
}

Abstract

After a quick review of the Higgs and Coulomb branches of 3d N=4 theories, I'll introduce some simple classes of boundary conditions and explain how they lead to (pairs of) modules for certain (pairs of) quantum algebras. I will focus on abelian theories, for which the relevant boundary conditions/modules can be described using the geometry of (pairs of) hyperplane arrangements. From this, the simplest examples of symplectic-dual modules will arise.

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