On the Torus degeneration of the genus two partition function
Hurley, Donny Tuite, Michael P.
Hurley, Donny
Tuite, Michael P.
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http://hdl.handle.net/10379/6197
https://doi.org/10.13025/15282
https://doi.org/10.13025/15282
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Publication Date
2013-07-16
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Article
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HURLEY, DONNY, & TUITE, MICHAEL P. (2013). ON THE TORUS DEGENERATION OF THE GENUS TWO PARTITION FUNCTION. International Journal of Mathematics, 24(07), 1350056. doi: 10.1142/s0129167x13500560
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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Publisher
World Scientific Publishing
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Attribution-NonCommercial-NoDerivs 3.0 Ireland