U-Duality and the Compactified Gauss-Bonnet Term

Details U-Duality and the Compactified Gauss-Bonnet Term U-Duality and the Compactified Gauss-Bonnet Term

2007-10-25

arxiv.org/abs/0710.4907v2

JHEP 0807:048,2008

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 1 figure

Scientific paper

10.1088/1126-6708/2008/07/048

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,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.

Affiliated with

Also associated with

No associations

Rating

U-Duality and the Compactified Gauss-Bonnet Term does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with U-Duality and the Compactified Gauss-Bonnet Term, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and U-Duality and the Compactified Gauss-Bonnet Term will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-433356