PIRSA:24030127

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 Edinburgh

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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