关于非退化复曲面保形块的模变换
On modular transformations of non-degenerate toric conformal blocks
摘要：
利用融合代数中的相容性关系，推导并求解了复曲面模核上的差分方程。其结果是明确的和简单的级数展开的非退化Virasoro共形块的环面模核。我们证明了这种展开式等价于著名的积分表示。Ponsot和J. Teschner。我们还解释所获得的系列表示作为一个非微扰扩展，并注意到，这引起了进一步的问题。
英文摘要：
We derive and solve the difference equations on the toric modular kernel following from the consistency relations in the fusion algebra. The result is explicit and simple series expansion for the toric modular kernel of non-degenerate Virasoro conformal blocks. We show that this expansion is equivalent to the celebrated integral representation due to B. Ponsot and J. Teschner. We also interpret obtained series representation as a non-perturbative expansion and note that this raises further questions.
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