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arXiv · 1304.6329

On the Torus Degeneration of the Genus Two Partition Function

Donny Hurley·Michael P. Tuite
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Abstract

We consider the partition function of a general vertex operator algebra $V$ on a genus two Riemann surface formed by sewing together two tori. We consider the non-trivial degeneration limit where one torus is pinched down to a Riemann sphere and show that the genus one partition function on the degenerate torus is recovered up to an explicit universal $V$-independent multiplicative factor raised to the power of the central charge.

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Donny Hurley, Michael P. Tuite. 2013-04-23. On the Torus Degeneration of the Genus Two Partition Function. https://arxiv.org/abs/1304.6329

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