Theoretical Physics Seminar: Dmitry Galakhov

  • Date: –15:00
  • Location: Zoom:
  • Lecturer: Dmitry Galakhov
  • Contact person: Nicolò Piazzalunga
  • Seminarium

Title: Quiver BPS Algebras

Abstract: In this talk we will discuss BPS algebras associated to BPS states in
systems of D-branes wrapping toric Calabi-Yau threefolds.
These algebras are labeled by framed quivers and are usually referred to as
shifted quiver Yangians generalizing a notion of affine Yangians introduced
in integrable models.
Accordingly, quiver BPS algebras appear nested naturally in
rational-trigonometric-elliptic hierarchies.
I will derive these algebras from an effective gauge field description of
D-brane systems as well as their representations, usually referred to as
MacMahon modules, or molten crystal models.
The analysis of these theories suggests that there exist even
richer classes of algebras associated with generalized cohomology theories
going beyond the traditional rational-trigonometric-elliptic hierarchy.
This talk is based on arXiv:2108.10286 with Wei Li and Masahito Yamazaki.