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On the Torus degeneration of the genus two partition function

Hurley, Donny
; 
Tuite, Michael P.
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Identifiers
http://hdl.handle.net/10379/6197
 https://doi.org/10.13025/15282
Publication Date
2013-07-16
Keywords
Vertex operator algebras, Virasoro algebra, Forms, Mathematics
Type
journal article
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Citation
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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World Scientific Publishing
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CC BY-NC-ND
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Mathematics (Scholarly Articles)