# Jack symmetric polynomials and their connection to the Lie algebra of infinitesimal conformal transformations

Presented by:

Simon Wood, ANU
Date:

Tue 14 Oct, 3:00 pm - 4:00 pm
Venue:

Room 442, Building 67 The Virasoro algebra is a central extensions of the Lie algebra of infinitesimal conformal transformations in two dimensions, is infinite dimensional as a complex vector space and is of central importance to two dimensional conformal field theory. Much of the "physical" content of a conformal field theory is controlled by highest weight vectors of the Virasoro algebra. Unfortunately, explicit formulae for these highest weight vectors are hard to come by in general. In this talk I will review a deep connection to a family of symmetric polynomials, called Jack (symmetric) polynomials, which solve this problem elegantly.