Constraints on Automorphic Forms of Higher Derivative Terms from Compactification
High Energy Physics - Theory
2014-11-20 v3
Abstract
By dimensionally reducing the higher derivative corrections of ten-dimensional IIB theory on a torus we deduce constraints on the E_{n+1} automorphic forms that occur in d=10-n dimensions. In particular we argue that these automorphic forms involve the representation of E_{n+1} with fundamental weight \lambda^{n+1}, which is also the representation to which the string charges in d dimensions belong. We also consider a similar calculation for the reduction of higher derivative terms in eleven-dimensional M-theory.
Cite
@article{arxiv.1002.1068,
title = {Constraints on Automorphic Forms of Higher Derivative Terms from Compactification},
author = {Finn Gubay and Neil Lambert and Peter West},
journal= {arXiv preprint arXiv:1002.1068},
year = {2014}
}
Comments
Minor corrections, to appear in JHEP