Realizations of exceptional U-duality groups as conformal and quasiconformal groups and their minimal unitary representations

Details Realizations of exceptional U-duality groups as conformal and quasiconformal groups and their minimal unitary representations Realizations of exceptional U-duality groups as conformal and quasiconformal groups and their minimal unitary representations

2004-09-24

arxiv.org/abs/hep-th/0409263v1

Comment.Phys.Math.Soc.Sci.Fenn.166:111-125,2004

Physics

High Energy Physics

High Energy Physics - Theory

Invited talk at the first Gunnar Nordstroem Symposium on Theoretical Physics (Helsinki, Aug. 2003)

Scientific paper

We review the novel quasiconformal realizations of exceptional U-duality groups whose "quantization" lead directly to their minimal unitary irreducible representations. The group $E_{8(8)}$ can be realized as a quasiconformal group in the 57 dimensional charge-entropy space of BPS black hole solutions of maximal N=8 supergravity in four dimensions and leaves invariant "lightlike separations" with respect to a quartic norm. Similarly $E_{7(7)}$ acts as a conformal group in the 27 dimensional charge space of BPS black hole solutions in five dimensional N=8 supergravity and leaves invariant "lightlike separations" with respect to a cubic norm. For the exceptional N=2 Maxwell-Einstein supergravity theory the corresponding quasiconformal and conformal groups are $E_{8(-24)}$ and $E_{7(-25)}$, respectively. These conformal and quasiconformal groups act as spectrum generating symmetry groups in five and four dimensions and are isomorphic to the U-duality groups of the corresponding supergravity theories in four and three dimensions, respectively. Hence the spectra of these theories are expected to form unitary representations of these groups whose minimal unitary realizations are also reviewed.

Affiliated with

Also associated with

No associations

Rating

Realizations of exceptional U-duality groups as conformal and quasiconformal groups and their minimal unitary representations 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 Realizations of exceptional U-duality groups as conformal and quasiconformal groups and their minimal unitary representations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Realizations of exceptional U-duality groups as conformal and quasiconformal groups and their minimal unitary representations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-631308