Miura operators as R-matrices from M-brane intersections

PIRSA ID: https://pirsa.org/24110062
Series: Mathematical Physics
Event Type: Seminar
Scientific Area(s):
Mathematical Physics
Speaker(s):
  • Saebyeok Jeong, CERN
Event Link: https://events.perimeterinstitute.ca/e/740
November 4, 2024 at 1:00 PM PI/4-405 - Bob Room

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.