The vanishing of two-point functions for three-loop superstring scattering amplitudes

Details The vanishing of two-point functions for three-loop superstring scattering amplitudes The vanishing of two-point functions for three-loop superstring scattering amplitudes

2008-06-02

arxiv.org/abs/0806.0354v1

Commun.Math.Phys.294:343-352,2010

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1007/s00220-009-0967-1

In this paper we show that the two-point function for the three-loop chiral superstring measure ansatz proposed by Cacciatori, Dalla Piazza, and van Geemen vanishes. Our proof uses the reformulation of ansatz in terms of even cosets, theta functions, and specifically the theory of the $\Gamma_{00}$ linear system on Jacobians introduced by van Geemen and van der Geer. At the two-loop level, where the amplitudes were computed by D'Hoker and Phong, we give a new proof of the vanishing of the two-point function (which was proven by them). We also discuss the possible approaches to proving the vanishing of the two-point function for the proposed ansatz in higher genera.

Affiliated with

Also associated with

No associations

Rating

The vanishing of two-point functions for three-loop superstring scattering 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 The vanishing of two-point functions for three-loop superstring scattering amplitudes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The vanishing of two-point functions for three-loop superstring scattering amplitudes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-632659