Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-17
Phys.Lett. B559 (2003) 89-98
Physics
High Energy Physics
High Energy Physics - Theory
v1, LaTex file, 15 pages; v2, 17 pages, add references and minor corrections
Scientific paper
10.1016/S0370-2693(03)00310-1
Following the new gauging fixing method of D'Hoker and Phong, we study two-loop superstrings in hyperelliptic language. By using hyperelliptic representation of genus 2 Riemann surface we derive a set of identities involving the Szeg\"o kernel. These identities are used to prove the vanishing of the cosmological constant and the non-renormalization theorem point-wise in moduli space by doing the summation over all the 10 even spin structures. Modular invariance is maintained at every stage of the computation explicitly. The 4-particle amplitude is also computed and an explicit expression for the chiral integrand is obtained. We use this result to show that the perturbative correction to the $R^4$ term in type II superstring theories is vanishing at two loops. In this paper, a summary of the main results is presented with detailed derivations to be provided in two subsequent publications.
Wu Jun-Bao
Zheng Zhu-Jun
Zhu Chuan-Jie
No associations
LandOfFree
Two-Loop Superstrings in Hyperelliptic Language I: the Main Results 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 Two-Loop Superstrings in Hyperelliptic Language I: the Main Results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-Loop Superstrings in Hyperelliptic Language I: the Main Results will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-259383