Chiralization of cluster structures
PIRSA ID:
https://pirsa.org/24100117
Série :
Mathematical Physics
Event Type:
Seminar
Domaine(s) scientifique(s) :
Mathematical Physics
Speaker(s):
- Mikhail Bershtein, University of Edinburgh
Event Link:
https://events.perimeterinstitute.ca/e/697
The chiralization in the title denotes a certain procedure which turns cluster X-varieties into q-W algebras. Many important notions from cluster and q-W worlds, such as mutations, global functions, screening operators, R-matrices, etc emerge naturally in this context. In particular, we discover new bosonizations of q-W algebras and establish connections between previously known bosonizations. If time permits, I will discuss potential applications of our approach to the study of 3d topological theories and local systems with affine gauge groups.
Based on a joint project with J. Shiraishi, J.E. Bourgine, B. Feigin, A. Shapiro, and G. Schrader.