Modular Forms and Three Loop Superstring Amplitudes

Details Modular Forms and Three Loop Superstring Amplitudes Modular Forms and Three Loop Superstring Amplitudes

2008-01-16

arxiv.org/abs/0801.2543v2

Nucl.Phys.B800:565-590,2008

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1016/j.nuclphysb.2008.03.007

We study a proposal of D'Hoker and Phong for the chiral superstring measure for genus three. A minor modification of the constraints they impose on certain Siegel modular forms leads to a unique solution. We reduce the problem of finding these modular forms, which depend on an even spin structure, to finding a modular form of weight 8 on a certain subgroup of the modular group. An explicit formula for this form, as a polynomial in the even theta constants, is given. We checked that our result is consistent with the vanishing of the cosmological constant. We also verified a conjecture of D'Hoker and Phong on modular forms in genus 3 and 4 using results of Igusa.

Affiliated with

Also associated with

No associations

Rating

Modular Forms and Three Loop Superstring Amplitudes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Modular Forms and Three Loop Superstring Amplitudes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modular Forms and Three Loop Superstring Amplitudes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-160105