Aarhus University Seal / Aarhus Universitets segl

Fivebranes and 4-manifolds

Pavel Putrov
Onsdag, 20 maj, 2015, at 15:00-16:00, in Aud. D3 (1531-215)
In my talk I will consider a correspondence between 4-manifolds and 2d supersymmetric quantum field theories. From physics point of view this relation arises when fivebranes of M-theory wrap a coassociative cycle in a G_2 manifold. In particular, I will focus on the interpretation of the elliptic genus of 2d theory as a partition function of 4d TQFT known as Vafa-Witten theory. The partition function of this 4d TQFT can be understood as a generating function for Euler characteristics of moduli spaces on instantons on the corresponding 4-manifold. I will consider some particular examples and conjecture some new results about Vafa-Witten partition function.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen