### Abstract

We study the SU (2) WZNW model over a family of elliptic curves. Starting from the formulation developed in [13], we derive a system of differential equations which contains the Knizhnik-Zamolodchikov-Bernard equations [1][9]. Our system completely determines the N-point functions and is regarded as a natural elliptic analogue of the system obtained in [12] for the projective line. We also calculate the system for the 1-point functions explicitly. This gives a generalization of the results in [7] for sl(2, ℂ)-characters.

Original language | English |
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Pages (from-to) | 207-233 |

Number of pages | 27 |

Journal | Publications of the Research Institute for Mathematical Sciences |

Volume | 32 |

Issue number | 2 |

Publication status | Published - Mar 1996 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Differential equations associated to the SU (2) WZNW model on elliptic curves.** / Suzuki, Takeshi.

Research output: Contribution to journal › Article

*Publications of the Research Institute for Mathematical Sciences*, vol. 32, no. 2, pp. 207-233.

}

TY - JOUR

T1 - Differential equations associated to the SU (2) WZNW model on elliptic curves

AU - Suzuki, Takeshi

PY - 1996/3

Y1 - 1996/3

N2 - We study the SU (2) WZNW model over a family of elliptic curves. Starting from the formulation developed in [13], we derive a system of differential equations which contains the Knizhnik-Zamolodchikov-Bernard equations [1][9]. Our system completely determines the N-point functions and is regarded as a natural elliptic analogue of the system obtained in [12] for the projective line. We also calculate the system for the 1-point functions explicitly. This gives a generalization of the results in [7] for sl(2, ℂ)-characters.

AB - We study the SU (2) WZNW model over a family of elliptic curves. Starting from the formulation developed in [13], we derive a system of differential equations which contains the Knizhnik-Zamolodchikov-Bernard equations [1][9]. Our system completely determines the N-point functions and is regarded as a natural elliptic analogue of the system obtained in [12] for the projective line. We also calculate the system for the 1-point functions explicitly. This gives a generalization of the results in [7] for sl(2, ℂ)-characters.

UR - http://www.scopus.com/inward/record.url?scp=21444456732&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21444456732&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:21444456732

VL - 32

SP - 207

EP - 233

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

SN - 0034-5318

IS - 2

ER -