Higher Loop Spin Field Correlators in Various Dimensions
Abstract
We compute higher-point superstring correlators involving spin fields in various even space-time dimensions D at tree-level and to arbitrary loop order. This generalizes previous work in D=4 space-time dimensions. The main focus are D=6,8 and D=10 superstring compactifications for which correlation functions with four and more spin fields are computed. More precisely, we present every non-vanishing six-point function. A number of results can even be derived for arbitrary D. A closed formula for the correlators <psi ... psi SS> with any number of fermions psi and two spin fields S in D space-time dimensions is given for arbitrary genus. Moreover, in D=6 and for arbitrary genus, we find a general formula for the correlators <S dot S ... S dot S>. The latter serve as basic building blocks to construct higher-point fermionic correlation functions. In D=8 we can profit from the SO(8)-triality to derive further tree-level correlators with a large numbers of spin fields.
Cite
@article{arxiv.1011.1249,
title = {Higher Loop Spin Field Correlators in Various Dimensions},
author = {D. Haertl and O. Schlotterer},
journal= {arXiv preprint arXiv:1011.1249},
year = {2011}
}
Comments
47 pages, 1 figure; v2: typos corrected; submitted to JHEP