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Generalised Geometry and type II Supergravity · Around

2012

Generalised Geometry and type II Supergravity

Coimbra, André, Strickland-Constable, Charles, Waldram, Daniel

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Ten-dimensional type II supergravity can be reformulated as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space.

To leading order in the fermion fields, this allow one to rewrite the action, equations of motion and supersymmetry variations in a simple, manifestly $Spin(9,1)\times Spin(1,9)$-covariant form.

Built on

E. Bergshoeff, R. Kallosh, T. Ortin, D. Roest, A. Van Proeyen, “New formulations of D = 10 supersymmetry and D8 - O8 domain walls,” Class. Quant. Grav. 18
2001
Earlier work this paper cites.
N. Hitchin, “Generalized Calabi-Yau manifolds,” Quart. J. Math. Oxford Ser. 54
2003
Earlier work this paper cites.

Similar

M. Gualtieri, “Generalized Complex Geometry,” Oxford University DPhil thesis (2004) [arXiv:math.DG/0401221] and [arXiv:math.DG/0703298]
2004
Cited alongside, same era.
A. Coimbra, C. Strickland-Constable, D. Waldram, “Supergravity as Generalised Geometry I: Type II Theories,” [arXiv:1107.1733 [hep-th]]
Original
Cited in the paper.
A. Coimbra, C. Strickland-Constable, D. Waldram, “Supergravity as Generalised Geometry II: E d ⁡ ( d ) × ℝ + E_{d(d)}\times\mathbb{R}^{+} and M theory,” to appear
Cited in the paper.

Then

M. Grana, R. Minasian, M. Petrini and D. Waldram, “T-duality, Generalized Geometry and Non-Geometric Backgrounds,” JHEP 0904
Original
2009
Later among the works it cites.

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