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arXiv · 1002.1068

Constraints on Automorphic Forms of Higher Derivative Terms from Compactification

Finn Gubay·Neil Lambert·Peter West
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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 λ^{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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Finn Gubay, Neil Lambert, Peter West. 2010-08-04. Constraints on Automorphic Forms of Higher Derivative Terms from Compactification. https://doi.org/10.1007/jhep08(2010)028

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