ScholarLens Back to search
2012•Journal of the Korean Mathematical SocietyOpen access

THE CHIRAL SUPERSTRING SIEGEL FORM IN DEGREE TWO IS A LIFT

Cris Poor, David S. Yuen

Open full text 1 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Mathematics, Siegel modular form, Lift (data mining), Cusp form, Modular group, Cusp (singularity), Pure mathematics, Modular form

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
THE CHIRAL SUPERSTRING SIEGEL FORM IN DEGREE TWO IS A LIFT — Research Paper | ScholarLens