par Bao, Ling;Bielecki, Johan;Cederwall, Martin;Nilsson, Bengt;Persson, Daniel
Référence The Journal of high energy physics, 2008, 7
Publication Publié, 2008-07
Article révisé par les pairs
Résumé : We 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,) 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,) 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,)-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,), which, nevertheless, remain on the positive side of the root lattice.