# Boundaries and D-modules in 3d N=4 theories

### APA

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

### MLA

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

### BibTex

@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}} }

Tudor Dimofte University of Edinburgh

## 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.