The chiral superstring Siegel form in degree two is a lift

Poor, Cris; Yuen, David S.

doi:10.4134/JKMS.2012.49.2.293

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The chiral superstring Siegel form in degree two is a lift

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Poor, Cris
Max Planck Institute for Mathematics, Max Planck Society;

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Yuen, David S.
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Poor, C., & Yuen, D. S. (2012). The chiral superstring Siegel form in degree two is a lift. Journal of the Korean Mathematical Society, 49(2), 293-314. doi:10.4134/JKMS.2012.49.2.293.

Cite as: https://hdl.handle.net/21.11116/0000-0004-DCE8-F

Abstract

We prove that the Siegel modular form of D'Hoker and Phong that gives the chiral superstring measure in degree two is a lift. This gives a fast algorithm for computing its Fourier coefficients. We prove a general lifting from Jacobi cusp forms of half integral index t/2 over the theta group Γ1(1,2) to Siegel modular cusp forms over certain subgroups Γpara(t;1,2) of paramodular groups. The theta group lift given here is a modification of the Gritsenko lift.