Search: onr:"swepub:oai:research.chalmers.se:bf94e95a-ae26-41a9-b1e5-e3dd9b4b745f" >
U-Duality and the C...
U-Duality and the Compactified Gauss-Bonnet Term
-
- Bao, Ling, 1980 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
-
- Bielecki, Johan, 1982 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
-
- Cederwall, Martin, 1961 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
-
show more...
-
- Nilsson, Bengt E W, 1952 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
-
Persson, Daniel (author)
-
show less...
-
(creator_code:org_t)
- 2007
- 2007
- English.
-
In: Journal of High Energy Physics.
- Related links:
-
https://research.cha...
Abstract
Subject headings
Close
- 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 is 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Publication and Content Type
- art (subject category)
- ref (subject category)
Find in a library
To the university's database