Schramm Loewner Evolution and Liouville Quantum Gravity

Details Schramm Loewner Evolution and Liouville Quantum Gravity Schramm Loewner Evolution and Liouville Quantum Gravity

2010-12-21

arxiv.org/abs/1012.4800v1

Physics

Mathematical Physics

1 figure

Scientific paper

We conformally weld (via "quantum zipping") two boundary arcs of a Liouville quantum gravity random surface to generate a random curve called the Schramm-Loewner evolution (SLE). We develop a theory of quantum fractal measures (consistent with the Knizhnik-Polyakov-Zamolochikov relation) and analyze their evolution under welding via SLE martingales. As an application, we construct the natural quantum length and boundary intersection measures on the SLE curve itself.

Affiliated with

Also associated with

No associations

Rating

Schramm Loewner Evolution and Liouville Quantum Gravity 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 Schramm Loewner Evolution and Liouville Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schramm Loewner Evolution and Liouville Quantum Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-580907