The parafermionic observable in SLE

Details The parafermionic observable in SLE The parafermionic observable in SLE

2011-10-17

arxiv.org/abs/1110.3731v1

Mathematics

Probability

27 pages, 6 figures

Scientific paper

The parafermionic observable has recently been used by number of authors study discrete models believed to be conformally invariant and to prove convergence results for these processes to SLE. We provide a definition for a one parameter family of continuum versions of the paraferminonic observable for SLE which takes the form of a normalized limit of expressions identical to the discrete definition. We then show the limit defining the observable exists, compute the value of the observable up to a finite multiplicative constant, and prove this constant is non-zero for a wide range of kappa. Finally, we show our observable for SLE becomes a holomorphic function for a particular choice of the parameter agreeing with what is seen in the discrete case.

Affiliated with

Also associated with

No associations

Rating

The parafermionic observable in SLE does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The parafermionic observable in SLE, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The parafermionic observable in SLE will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318898