The chiral superstring Siegel form in degree two is a lift
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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 modi cation of the Gritsenko lift.
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 modi cation of the Gritsenko lift.
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