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Two-loop superstrings in hyperelliptic languageĀ I: the main results
- Source :
-
Physics Letters B . Apr2003, Vol. 559 Issue 1/2, p89. 10p. - Publication Year :
- 2003
-
Abstract
- 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 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 <f>R4</f> 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. [Copyright &y& Elsevier]
- Subjects :
- *HYPERELLIPTIC integrals
*METAPHYSICAL cosmology
Subjects
Details
- Language :
- English
- ISSN :
- 03702693
- Volume :
- 559
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Physics Letters B
- Publication Type :
- Academic Journal
- Accession number :
- 9403555
- Full Text :
- https://doi.org/10.1016/S0370-2693(03)00310-1