PIRSA:24110062

Miura operators as R-matrices from M-brane intersections

Jeong, S. (2024). Miura operators as R-matrices from M-brane intersections. Perimeter Institute. https://pirsa.org/24110062

Jeong, Saebyeok. Miura operators as R-matrices from M-brane intersections. Perimeter Institute, Nov. 04, 2024, https://pirsa.org/24110062 

          @misc{ pirsa_PIRSA:24110062,
            doi = {10.48660/24110062},
            url = {https://pirsa.org/24110062},
            author = {Jeong, Saebyeok},
            keywords = {Mathematical physics},
            language = {en},
            title = {Miura operators as R-matrices from M-brane intersections},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {nov},
            note = {PIRSA:24110062 see, \url{https://pirsa.org}}
          }

Saebyeok Jeong

Talk number
PIRSA:24110062
Collection
Talk Type
Subject
Abstract

In this talk, I will discuss how M2-M5 intersections in a twisted M-theory background yield the R-matrices of the quantum toroidal algebra of gl(1). These R-matrices are identified with the Miura operators for the q-deformed W- and Y-algebras. Additionally, I will show how the M2-M5 intersection (or equivalently, the Miura operator) generates the qq-characters of the 5d N=1 gauge theory, offering new insight into the algebraic meaning of the latter.