U-Duality and the Compactified Gauss-Bonnet Term

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dc.creatorBao, Ling
dc.creatorBielecki, Johan
dc.creatorCederwall, Martin
dc.creatorNilsson, Bengt E. W.
dc.creatorPersson, Daniel
dc.date2007-10-25
dc.date2008-02-26
dc.date.accessioned2026-07-07T13:16:11Z
dc.date.available2026-07-07T13:16:11Z
dc.descriptionWe present the complete toroidal compactification of the Gauss-Bonnet Lagrangian from D dimensions to (D-n) dimensions. Our goal is to investigate the resulting action from the point of view of the "U-duality" symmetry SL(n+1,R) which is present in the tree-level Lagrangian when D-n=3. The analysis builds upon and extends the investigation of the paper [arXiv:0706.1183], by computing in detail the full structure of the compactified Gauss-Bonnet term, including the contribution from the dilaton exponents. We analyze these exponents using the representation theory of the Lie algebra sl(n+1,R) and determine which representation seems to be the relevant one for quadratic curvature corrections. By interpreting the result of the compactification as a leading term in a large volume expansion of an SL(n+1,Z)-invariant action, we conclude that the overall exponential dilaton factor should not be included in the representation structure. As a consequence, all dilaton exponents correspond to weights of sl(n+1,R), which, nevertheless, remain on the positive side of the root lattice.
dc.description34 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0710.4907
dc.identifierhttp://arxiv.org/abs/0710.4907
dc.identifierJHEP 0807:048,2008
dc.identifierdoi:10.1088/1126-6708/2008/07/048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230710
dc.subjectHigh Energy Physics - Theory
dc.titleU-Duality and the Compactified Gauss-Bonnet Term
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