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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)
  • Received : 2010.10.29
  • Published : 2012.03.01

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

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