E11, generalised space-time and IIA string theory

Details E11, generalised space-time and IIA string theory E11, generalised space-time and IIA string theory

2010-09-14

arxiv.org/abs/1009.2624v1

Phys.Lett.B696:403-409,2011

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/j.physletb.2010.12.041

As advocated in hep-th/0307098 we construct the non-linear realisation of the semi-direct product of E11 and its first fundamental representation at lowest level from the IIA viewpoint. We find a theory that is SO(10,10)x GL(1) invariant and contains the fields of gravity, a two form and a dilaton but which depend on coordinates which belong to the vector representation of SO(10,10). The resulting Lagrangian agrees that of recent work on the so called doubled field theory. However, the construction given in this paper is straightforward and systematic. It also reveals the relevant underlying symmetries and opens the way to include the Ramond-Ramond, and higher level, fields together with additional coordinates of the generalised space-time.

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