Supergravity as generalised geometry II: Ed(d) × ℝ+ and M theory

By A. Coimbra, C. Strickland-Constable, D. Waldram. 2014

198 citations recorded by the source corpus.

A bstractWe reformulate eleven-dimensional supergravity, including fermions, in terms of generalised geometry, for spacetimes that are warped products of Minkowski space with a d-dimensional manifold M with d ≤ 7. The reformulation has an Ed(d) × ℝ+ structure group and it has a local $ {{\widetilde{H}}_d} $ symmetry, where $ {{\widetilde{H}}_d} $ is the double cover of the maximally compact subgroup of Ed(d). The bosonic degrees for freedom unify into a generalised metric, and, defining the generalisked analogue D of the Levi-Civita connection, one finds that the corresponding equations of motion are the vanishing of the generalised Ricci tensor. To leading order, we show that the fermionic equations of motion, action and supersymmetry variations can all be written in terms of D. Although we will not give the detailed decompositions, this reformulation is equally applicable to type IIA or IIB supergravity restricted to a (d − 1)-dimensional manifold. For completeness we give explicit expressions in terms of $ {{\widetilde{H}}_4} $ = Spin(5) and $ {{\widetilde{H}}_7} $ = SU(8) representations for d = 4 and d = 7.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c2e9920a5c59d1d8033c2af95ff547d432461810

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Citations in the corpus

Spheres, Generalised Parallelisability and Consistent Truncations (2014, methodology): “[18] There are also other versions of generalised geometry[19–22] with structures and connections which capture, for example, the full set of bosonic fields and equations of motion of type II and eleven-dimensional supergravity.[23,24] The central point for us is that in each case there is a direct ”
Consistent Kaluza-Klein truncations via exceptional field theory (2014, background): “J H E P 0 1 ( 2 0 1 5 ) 1 3 1 fields truncated to the internal sector in [36, 42, 43, 57] and recently completed in [48] for the full E7(7) exceptional field theory constructed in [46].”