MS Seminar (Mathematics - String Theory)

Speaker: Alexander Alexandrov (IBS Korea)
Title: Open intersection numbers, matrix model, and W-constraints
Date: Tue, Sep 25, 2018, 13:15 - 14:45
Place: Seminar Room A
Abstract: From the seminal papers of Witten and Kontsevich we know that the intersection theory on the moduli spaces of complex curves is described by a tau-function of the KdV integrable hierarchy. Moreover, this tau-function is given by a matrix integral and satisfies the Virasoro constraints. Recently, an open version of this intersection theory was introduced. In my talk I will show that the open version can be described very similar to the closed one, in particular it is given by a tau-function of the integrable hierarchy.
Moreover, it's W-constraints can be naturally described in terms of two free bosonic fields.