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.
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U2 - 10.2977/prims/1195162963
DO - 10.2977/prims/1195162963
M3 - Article
AN - SCOPUS:21444456732
SN - 0034-5318
VL - 32
SP - 207
EP - 233
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
IS - 2
ER -