Another derivation of the geometrical KPZ relations

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1088/1742-5468/2009/03/P03004

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.

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