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Constraints on automorphic forms of higher derivative terms from compactification

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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 \( {\overrightarrow \lambda^{n + 1}} \), 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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Authors and Affiliations

  1. Department of Mathematics, King’s College, The Strand, London, WC2R 2LS, U.K.

    Finn Gubay, Neil Lambert & Peter West

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  1. Finn Gubay
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  2. Neil Lambert
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  3. Peter West
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Correspondence to Neil Lambert.

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ArXiv ePrint: 1002.1068

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Gubay, F., Lambert, N. & West, P. Constraints on automorphic forms of higher derivative terms from compactification. J. High Energ. Phys. 2010, 28 (2010). https://doi.org/10.1007/JHEP08(2010)028

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