Central Charge and Quasihole Scaling Dimensions From Model Wavefunctions: Towards Relating Jack Wavefunctions to W-algebras

Understand

We present a general method to obtain the central charge and quasihole scaling dimension directly from groundstate and quasihole wavefunctions.

• Our method applies to wavefunctions satisfying specific clustering properties.
• We then use our method to examine the relation between Jack symmetric functions and certain W-algebras.
• We add substantially to the evidence that the (k,r) admissible Jack functions correspond to correlators of the conformal field theory W_k(k+1,k+r), by calculating the central charge and scaling dimensions of some of the fields in both cases and showing that they match.