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Another derivation of the geometrical KPZ relations

Mathematical Physics 2009-03-31 v1 Statistical Mechanics High Energy Physics - Theory math.MP

Abstract

We give a physicist's derivation of the geometrical (in the spirit of Duplantier-Sheffield) KPZ relations, via heat kernel methods. It gives a covariant way to define neighborhoods of fractals in 2d quantum gravity, and shows that these relations are in the realm of conformal field theory.

Cite

@article{arxiv.0810.2858,
  title  = {Another derivation of the geometrical KPZ relations},
  author = {Francois David and Michel Bauer},
  journal= {arXiv preprint arXiv:0810.2858},
  year   = {2009}
}
R2 v1 2026-06-21T11:31:21.444Z