### Abstract

The formalism of the previous paper is extended to the case of supersymmetric strings. The effective theory which sums up fermionic surfaces is described by the supersymmetric Liouville equation. At D = 10 effective decoupling of the Liouville dilaton takes place and our theory coincides with the old ones. At D = 3 our theory is equilavent to the three-dimensional Ising model, which is thus reduced to the two-dimensional supersymmetric Liouville theory.

Original language | English (US) |
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Pages (from-to) | 211-213 |

Number of pages | 3 |

Journal | Physics Letters B |

Volume | 103 |

Issue number | 3 |

DOIs | |

State | Published - Jul 23 1981 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

Polyakov, A. M. (1981). Quantum geometry of fermionic strings.

*Physics Letters B*,*103*(3), 211-213. https://doi.org/10.1016/0370-2693(81)90744-9