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Fermionic fields on ℤ N -curves

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Abstract

The line bundles of degreeg−1 on ℤ N -curves corresponding to 1/N nonsingular characteristics are considered. The determinants of Dirac operators defined on these line bundles are evaluated in terms of branch points. The generalization of Thomae's formula for ℤ N -curves is derived.

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Communicated by Ya. G. Sinai

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Bershadsky, M., Radul, A. Fermionic fields on ℤ N -curves. Commun.Math. Phys. 116, 689–700 (1988). https://doi.org/10.1007/BF01224908

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