Central Charge and Quasihole Scaling Dimensions From Model Wavefunctions:
Towards Relating Jack Wavefunctions to Walgebras 
Bernevig, B. Andrei; Gurarie, Victor; Simon, Steven H.



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 Walgebras. We add substantially to the evidence that the (k, r) admissible
Jack functions correspond to correlators of the conformal field theory Wk(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. For the Jacks described by unitary Wmodels, the central charge and quasihole exponents
match the ones previously obtained from analyzing the physics of the edge excitations. For the Jacks
described by nonunitary Wmodels the central charge and quasihole scaling dimensions obtained
from the wavefunctions differ from the ones obtained from the edge physics, which instead agree
with the “effective” central charge of the corresponding Wmodel.

Keyword(s):

Mathematical Physics; Central Charge; Quasihole; Scaling; Dimensions; Model Wavefunctions; Jack Wavefunctions; Walgebras 
Publication Date:

2009 
Type:

Journal article 
PeerReviewed:

No 
Institution:

Maynooth University 
Citation(s):

Bernevig, B. Andrei and Gurarie, Victor and Simon, Steven H. (2009) Central Charge and Quasihole Scaling Dimensions From Model Wavefunctions: Towards Relating Jack Wavefunctions to Walgebras. Journal of Physics A: Mathematical and Theoretical, 42 (245206). pp. 130. ISSN 17518113 
Publisher(s):

Institute of Physics Publishing Ltd 
File Format(s):

application/pdf 
Related Link(s):

http://eprints.maynoothuniversity.ie/2693/1/AB_Central_Charge.pdf 
First Indexed:
20140920 05:04:50 Last Updated:
20140920 05:04:50 