[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2012.49.2.293

THE CHIRAL SUPERSTRING SIEGEL FORM IN DEGREE TWO IS A LIFT

Poor, Cris (Department of Mathematics Fordham University)
Yuen, David S. (Department of Mathematics and Computer Science Lake Forest College)

Publication Information

Journal of the Korean Mathematical Society / v.49, no.2, 2012 , pp. 293-314 More about this Journal

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 ${\Gamma}_1$ (1, 2) to Siegel modular cusp forms over certain subgroups ${\Gamma}^{para}$ (t; 1, 2) of paramodular groups. The theta group lift given here is a modification of the Gritsenko lift.

Keywords

Siegel modular form; Jacobi form; chiral superstring measure;

Citations & Related Records

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