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• W1970274920 abstract "It is shown how twisted N=2 (k=1) provides for the first time a complete conformal field theory description of the usual geometrical phase transitions in two dimensions, like polymers, percolation or brownian motion. In particular, four point functions of operators with half integer Kac labels are computed, together with geometrical operator products. In addition to Ramond and Neveu Schwartz, a sector with quarter twists has to be introduced. The role of fermions and their various sectors is geometrically interpreted, modular invariant partition functions are built. The presence of twisted N=2 is traced back to the Parisi Sourlas supersymmetry. It is shown that N=2 leads also to new non trivial predictions; for instance the fractal dimension of the percolation backbone in two dimensions is conjectured to be D=25/16, in good agreement with numerical studies." @default.
• W1970274920 created "2016-06-24" @default.
• W1970274920 creator A5027386297 @default.
• W1970274920 date "1992-09-01" @default.
• W1970274920 modified "2023-10-02" @default.
• W1970274920 title "Polymers and percolation in two dimensions and twisted N = 2 supersymmetry" @default.
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• W1970274920 doi "https://doi.org/10.1016/0550-3213(92)90657-w" @default.
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