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 |
|---|---|
| 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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Differential equations associated to the SU (2) WZNW model on elliptic curves. / Suzuki, Takeshi.
In: Publications of the Research Institute for Mathematical Sciences, Vol. 32, No. 2, 03.1996, p. 207-233.Research output: Contribution to journal › Article
}
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 -