Duality and the Knizhnik-Polyakov-Zamolodchikov Relation in Liouville Quantum Gravity
We present a (mathematically rigorous) probabilistic and geometrical proof of the Knizhnik-Polyakov-Zamolodchikov relation between scaling exponents in a Euclidean planar domain D and in Liouville quantum gravity. It uses the properly regularized quantum area measure dμ[subscript γ]=ε[superscript γ[...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/52484 https://orcid.org/0000-0002-5951-4933 |