U-Duality and the Compactified Gauss-Bonnet Term

Tyck till om SwePub Sök här!

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

Nilsson, Bengt E W, 1952 (author): Chalmers tekniska högskola,Chalmers University of Technology

Persson, Daniel (author)

(creator_code:org_t)

Abstract Subject headings

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.

By the author/editor: Bao, Ling, 1980; Bielecki, Johan, ...; Cederwall, Marti ...; Nilsson, Bengt E ...; Persson, Daniel

About the subject

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.