Sugawara-type constraints in hyperbolic coset models

Details Sugawara-type constraints in hyperbolic coset models Sugawara-type constraints in hyperbolic coset models

2009-12-17

arxiv.org/abs/0912.3491v1

Commun.Math.Phys.302:755-788,2011

Physics

High Energy Physics

High Energy Physics - Theory

49 pages

Scientific paper

10.1007/s00220-011-1188-y

In the conjectured correspondence between supergravity and geodesic models on infinite-dimensional hyperbolic coset spaces, and E10/K(E10) in particular, the constraints play a central role. We present a Sugawara-type construction in terms of the E10 Noether charges that extends these constraints infinitely into the hyperbolic algebra, in contrast to the truncated expressions obtained in arXiv:0709.2691 that involved only finitely many generators. Our extended constraints are associated to an infinite set of roots which are all imaginary, and in fact fill the closed past light-cone of the Lorentzian root lattice. The construction makes crucial use of the E10 Weyl group and of the fact that the E10 model contains both D=11 supergravity and D=10 IIB supergravity. Our extended constraints appear to unite in a remarkable manner the different canonical constraints of these two theories. This construction may also shed new light on the issue of `open constraint algebras' in traditional canonical approaches to gravity.

Affiliated with

Also associated with

No associations

Rating

Sugawara-type constraints in hyperbolic coset models 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 Sugawara-type constraints in hyperbolic coset models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sugawara-type constraints in hyperbolic coset models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-686189