1304.6329 (Donny Hurley et al.)

On the Torus Degeneration of the Genus Two Partition Function    [PDF]

Donny Hurley, Michael P. Tuite

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.

View original: http://arxiv.org/abs/1304.6329