# Quantum toroidal algebras and spiralling branes

### APA

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

### MLA

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

### BibTex

@misc{ pirsa_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}, year = {2024}, month = {mar}, note = {PIRSA:24030127 see, \url{https://pirsa.org}} }

Yegor Zenkevich University of California, Berkeley

## 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.

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