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On the Torus Degeneration of the Genus Two Partition Function (1304.6329v1)
Published 23 Apr 2013 in math.QA and hep-th
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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