# Embeddings between Coulomb branches of quiver gauge theories

### APA

Weekes, A. (2024). Embeddings between Coulomb branches of quiver gauge theories. Perimeter Institute. https://pirsa.org/24100140

### MLA

Weekes, Alex. Embeddings between Coulomb branches of quiver gauge theories. Perimeter Institute, Oct. 28, 2024, https://pirsa.org/24100140

### BibTex

@misc{ pirsa_PIRSA:24100140, doi = {10.48660/24100140}, url = {https://pirsa.org/24100140}, author = {Weekes, Alex}, keywords = {Mathematical physics}, language = {en}, title = {Embeddings between Coulomb branches of quiver gauge theories}, publisher = {Perimeter Institute}, year = {2024}, month = {oct}, note = {PIRSA:24100140 see, \url{https://pirsa.org}} }

**Collection**

**Subject**

Many interesting spaces arise as Coulomb branches of 3d N=4 quiver gauge theories, including nilpotent orbit closures and affine Grassmannian slices. These interesting spaces often admit interesting embeddings into one another. For example, one nilpotent orbit closure might be contained inside another. That said, it is much less clear how to describe or construct such an embedding from a purely Coulomb branch perspective. I will discuss joint work with Dinakar Muthiah, where we describe a natural Coulomb branch connection with Coulomb branches: for finite ADE types, the embeddings respect monopole operators thought of as functions on the Coulomb branch. This perspective also allows us to generalize the story, and construct embeddings for arbitrary quivers which have the same property.