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marcus

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## Main Question or Discussion Point

Let's try to see the S&W prediction in connection with Derek Wise's beautiful paper on Cartan gravity and symmetry breaking.

http://arxiv.org/abs/1112.2390

Derek K. Wise

(Submitted on 11 Dec 2011)

In gravity, breaking symmetry from a group G to a group H plays the role of describing geometry in relation to the geometry of the homogeneous space G/H. The deep reason for this is Cartan's "method of equivalence," giving, in particular, an exact correspondence between metrics and Cartan connections. I argue that broken symmetry is thus implicit in any gravity theory, for purely geometric reasons. As an application,

4 pages. Contribution written for proceedings of the conference "Loops 11" (Madrid, May 2011)

http://arxiv.org/abs/1112.2390

**The geometric role of symmetry breaking in gravity**Derek K. Wise

(Submitted on 11 Dec 2011)

In gravity, breaking symmetry from a group G to a group H plays the role of describing geometry in relation to the geometry of the homogeneous space G/H. The deep reason for this is Cartan's "method of equivalence," giving, in particular, an exact correspondence between metrics and Cartan connections. I argue that broken symmetry is thus implicit in any gravity theory, for purely geometric reasons. As an application,

**I explain how this kind of thinking gives a new approach to Hamiltonian gravity in which an observer field spontaneously breaks Lorentz symmetry and gives a Cartan connection on space.**4 pages. Contribution written for proceedings of the conference "Loops 11" (Madrid, May 2011)

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