Constraints on Automorphic Forms of Higher Derivative Terms from Compactification

Details Constraints on Automorphic Forms of Higher Derivative Terms from Compactification Constraints on Automorphic Forms of Higher Derivative Terms from Compactification

2010-02-04

arxiv.org/abs/1002.1068v3

Physics

High Energy Physics

High Energy Physics - Theory

Minor corrections, to appear in JHEP

Scientific paper

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.

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