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U-Duality and the C...
U-Duality and the Compactified Gauss-Bonnet Term
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- Bao, Ling, 1980 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Bielecki, Johan, 1982 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Cederwall, Martin, 1961 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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visa fler...
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- Nilsson, Bengt E W, 1952 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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Persson, Daniel (författare)
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visa färre...
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(creator_code:org_t)
- 2007
- 2007
- Engelska.
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Ingår i: Journal of High Energy Physics.
- Relaterad länk:
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https://research.cha...
Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
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