# Boundary vertex operator algebras of 3d N=4 rank-zero SCFTs.

### APA

Kim, H. (2024). Boundary vertex operator algebras of 3d N=4 rank-zero SCFTs.. Perimeter Institute. https://pirsa.org/24010099

### MLA

Kim, Heeyeon. Boundary vertex operator algebras of 3d N=4 rank-zero SCFTs.. Perimeter Institute, Jan. 30, 2024, https://pirsa.org/24010099

### BibTex

@misc{ pirsa_PIRSA:24010099, doi = {10.48660/24010099}, url = {https://pirsa.org/24010099}, author = {Kim, Heeyeon}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Boundary vertex operator algebras of 3d N=4 rank-zero SCFTs.}, publisher = {Perimeter Institute}, year = {2024}, month = {jan}, note = {PIRSA:24010099 see, \url{https://pirsa.org}} }

**Collection**

**Subject**

I will talk about the boundary vertex operator algebra of topologically twisted 3d N=4 rank-zero SCFTs. The latter is recently introduced family of N=4 SCFTs with zero-dimensional Higgs and Coulomb branches, which are expected to support rational VOAs at the boundary. I will discuss the construction of the simplest class of rank-zero SCFTs T_r, and argue that they admit the simple affine VOAs L_r(osp(1|2)) at their boundary. In the simplest case, this leads to a physical realization of a novel level-rank duality between L_1(osp(1|2)) and the Virasoro minimal model M(2,5).

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