Aspects of higher curvature terms and U-duality
Journal article, 2007

We discuss various aspects of dimensional reduction of gravity with the Einstein-Hilbert action supplemented by a lowest order deformation formed as the Riemann tensor raised to powers two, three or four. In the case of R^2 we give an explicit expression, and discuss the possibility of extended coset symmetries, especially SL(n+1,Z) for reduction on an n-torus to three dimensions. Then we start an investigation of the dimensional reduction of R^3 and R^4 by calculating some terms relevant for the coset formulation, aiming in particular towards E_8(8)/(Spin(16)/Z_2) in three dimensions and an investigation of the derivative structure. We emphasise some issues concerning the need for the introduction of non-scalar automorphic forms in order to realise certain expected enhanced symmetries.

Author

Ling Bao

Chalmers, Applied Physics, Mathematical Physics

Martin Cederwall

Chalmers, Applied Physics, Mathematical Physics

Bengt E W Nilsson

Chalmers, Applied Physics, Mathematical Physics

Classical and Quantum Gravity

0264-9381 (ISSN)

Vol. 25 9

Subject Categories

Mathematics

Physical Sciences

Roots

Basic sciences

DOI

10.1088/0264-9381/25/9/095001

More information

Created

10/8/2017