Theoretical Physics Seminar: Miroslav Rapčák

Title: Branes, BPS Algebras and COHA

Abstract: According to the famous AGT correspondence, there exists an action of the
W_N algebra on the cohomology of the moduli space of instantons. This
module admits an interpretation in terms of the space of vacua of a quantum
mechanics describing the low energy dynamics of D0-branes bound to a stack
of N D4-branes. The W_N algebra then captures processes of bounding and
separating D0-branes from the stack. It is natural to ask if the story
generalizes to D0-branes bound to intersecting branes and branes of
different dimensions. In this talk, I will 1. Review the construction of
the module structure using correspondences in algebraic geometry. 2.
Illustrate the construction on the simplest example of D0-branes bound to a
single D2-brane, recovering the vector representation of the gl_1 affine
Yangian 3. Comment on some recent developments in the
cohomological-Hall-algebra approach to the correspondence between branes
and representation theory.