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Seminar by Pavel Putrov (Caltech)

Title: Fivebranes and 4-manifolds

2015.05.13 | Jane Jamshidi

Date Wed 20 May
Time 15:00 16:00
Location 1531-215 (Aud. D3)

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.