## Video URL

https://pirsa.org/24030127# Quantum toroidal algebras and spiralling branes

### APA

Zenkevich, Y. (2024). Quantum toroidal algebras and spiralling branes. Perimeter Institute for Theoretical Physics. https://pirsa.org/24030127

### MLA

Zenkevich, Yegor. Quantum toroidal algebras and spiralling branes. Perimeter Institute for Theoretical Physics, Mar. 28, 2024, https://pirsa.org/24030127

### BibTex

@misc{ scivideos_PIRSA:24030127, doi = {10.48660/24030127}, url = {https://pirsa.org/24030127}, author = {Zenkevich, Yegor}, keywords = {Mathematical physics}, language = {en}, title = {Quantum toroidal algebras and spiralling branes}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2024}, month = {mar}, note = {PIRSA:24030127 see, \url{https://scivideos.org/pirsa/24030127}} }

Yegor Zenkevich University of Edinburgh

**Source Repository**PIRSA

**Collection**

**Talk Type**Scientific Series

**Subject**

## Abstract

After briefly reviewing the dictionary between branes of Type IIB string theory and representations of the simplest quantum toroidal algebra, I will present a new class of brane setups which I call spiralling branes. Partition functions of these remarkable configurations reproduce K-theoretic vertex partition function, while on the algebraic side they correspond to Drinfeld twists of R-matrices. Time permitting, I will also discuss other applications of spiralling branes.

---