Duality Groups, Automorphic Forms and Higher Derivative Corrections

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dc.creatorLambert, Neil
dc.creatorWest, Peter
dc.date2006-11-29
dc.date2007-02-21
dc.date.accessioned2026-07-07T11:59:28Z
dc.date.available2026-07-07T11:59:28Z
dc.descriptionWe study the higher derivative corrections that occur in type II superstring theories in ten dimensions or less. Assuming invariance under a discrete duality group G(Z) we show that the generic functions of the scalar fields that occur can be identified with automorphic forms. We then give a systematic method to construct automorphic forms from a given group G(Z) together with a chosen subgroup H and a linear representation of G(Z). This construction is based on the theory of non-linear realizations and we find that the automorphic forms contain the weights of G. We also carry out the dimensional reduction of the generic higher derivative corrections of the IIB theory to three dimensions and find that the weights of E_8 occur generalizing previous results of the authors on M-theory. Since the automorphic forms of this theory contain the weights of E_8 we can interpret the occurrence of weights in the dimensional reduction as evidence for an underlying U-duality symmetry.
dc.descriptionTypos corrected and a reference added
dc.identifierhttps://arxiv.org/abs/hep-th/0611318
dc.identifierhttp://arxiv.org/abs/hep-th/0611318
dc.identifierPhys.Rev.D75:066002,2007
dc.identifierdoi:10.1103/PhysRevD.75.066002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206575
dc.subjectHigh Energy Physics - Theory
dc.titleDuality Groups, Automorphic Forms and Higher Derivative Corrections
dc.typetext

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