Reconstructing the Columella With Nasolabial Flaps

The canonical structure of maximally extended supergravity in three dimensions

“…® Thus, the metric and its inverse are regarded as quantities, whereas the viel in is considered fundamental. It is, of course, essential here that neither the metric nor its inverse ever appear in the formulas of refs, [3,4]. The similarity with the results of ref.…”

“…The following ones, which are algebraic, were not given in ref. [4] -~4~~I C~~~~0, hey are easy to prove in the s ciat gauge adopted in r+~f. [4] Csee eq.…”

“…It is here that contact is made with refs. [3,4], where alternative formulations of d = 11 supergravity with enlarged tangent space sym-metries were proposed . essential ingredient in that construction was the fusion of gravitational and matter degrees of freedom into new tensors covariant under the enlarged symmetry, while the dependence on all eleven coordinates was maintained .…”

“…[4], the reformulation was accomplished by means of "generalized vicibein" (e ;, e;,) with upper world indices m, n, . .…”

“…As will be explained in sect. 5, the phase-space variables needed here ûre intimately related to certain geometrical quantities that appear in the SO(1, 2) x S006)-invariant formulation of d = 11 supergravity [4] (this construction was based on earlier work [3], where an SO (1,3) x SU(8)-invariant version of d = 11 supergravity was exhibited). There is considerable evidence, that, at least for extended supergravities, the framework proposed in refs.…”