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Zheng, ZJ; Wu, JB; Zhu, CJ; Zheng, ZJ , Henan Univ, Math Inst, Kaifeng 475001, Peoples R China.
Two-loop superstrings in hyperelliptic language I: the main results
Source PublicationPHYSICS LETTERS B
KeywordHeterotic String Theory 2-loop Superstrings Cosmological Constant Amplitudes Surfaces
AbstractFollowing 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 Szego 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 Letter, a summary of the main results is presented with detailed derivations to be provided in two subsequent publications. (C) 2003 Published by Elsevier Science B.V.
2003
ISSN0370-2693
Volume559Issue:40910Pages:89-98
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13320
CollectionSCI期刊论文
Corresponding AuthorZheng, ZJ , Henan Univ, Math Inst, Kaifeng 475001, Peoples R China.
Recommended Citation
GB/T 7714
Zheng, ZJ,Wu, JB,Zhu, CJ,et al. Two-loop superstrings in hyperelliptic language I: the main results[J]. PHYSICS LETTERS B,2003,559(40910):89-98.
APA Zheng, ZJ,Wu, JB,Zhu, CJ,&Zheng, ZJ , Henan Univ, Math Inst, Kaifeng 475001, Peoples R China..(2003).Two-loop superstrings in hyperelliptic language I: the main results.PHYSICS LETTERS B,559(40910),89-98.
MLA Zheng, ZJ,et al."Two-loop superstrings in hyperelliptic language I: the main results".PHYSICS LETTERS B 559.40910(2003):89-98.
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