$E_{d(d)} \times \mathbb{R}^+$ Generalised Geometry, Connections and M theory

Details $E_{d(d)} \times \mathbb{R}^+$ Generalised Geometry, Connections and M theory $E_{d(d)} \times \mathbb{R}^+$ Generalised Geometry, Connections and M theory

2011-12-16

arxiv.org/abs/1112.3989v1

Physics

High Energy Physics

High Energy Physics - Theory

43 pages

Scientific paper

We show that generalised geometry gives a unified description of bosonic eleven-dimensional supergravity restricted to a $d$-dimensional manifold for all $d\leq7$. The theory is based on an extended tangent space which admits a natural $E_{d(d)} \times \mathbb{R}^+$ action. The bosonic degrees of freedom are unified as a "generalised metric", as are the diffeomorphism and gauge symmetries, while the local $O(d)$ symmetry is promoted to $H_d$, the maximally compact subgroup of $E_{d(d)}$. We introduce the analogue of the Levi--Civita connection and the Ricci tensor and show that the bosonic action and equations of motion are simply given by the generalised Ricci scalar and the vanishing of the generalised Ricci tensor respectively. The formalism also gives a unified description of the bosonic NSNS and RR sectors of type II supergravity in $d-1$ dimensions. Locally the formulation also describes M theory variants of double field theory and we derive the corresponding section condition in general dimension. We comment on the relation to other approaches to M theory with $E_{d(d)}$ symmetry, as well as the connections to flux compactifications and the embedding tensor formalism.

Affiliated with

Also associated with

No associations

Rating

$E_{d(d)} \times \mathbb{R}^+$ Generalised Geometry, Connections and M theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $E_{d(d)} \times \mathbb{R}^+$ Generalised Geometry, Connections and M theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $E_{d(d)} \times \mathbb{R}^+$ Generalised Geometry, Connections and M theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171050