Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-08-04
Nucl.Phys.B843:784-815,2011
Physics
High Energy Physics
High Energy Physics - Theory
40 pages; Latex file
Scientific paper
10.1016/j.nuclphysb.2010.10.019
Minimal unitary representation of SO*(8) = SO(6,2) realized over the Hilbert space of functions of five variables and its deformations labeled by the spin t of an SU(2) subgroup correspond to massless conformal fields in six dimensions as was shown in arXiv:1005.3580. In this paper we study the minimal unitary supermultiplet of OSp(8*|2N) with the even subgroup SO*(8) x USp(2N) and its deformations using quasiconformal methods. We show that the minimal unitary supermultiplet of OSp(8*|2N) admits deformations labeled uniquely by the spin t of an SU(2) subgroup of the little group SO(4) of lightlike vectors in six dimensions. We construct the deformed minimal unitary representations and show that they correspond to massless 6D conformal supermultiplets. The minimal unitary supermultiplet of OSp(8*|4) is the massless supermultiplet of (2,0) conformal field theory that is believed to be dual to M-theory on AdS_7 x S^4. We study its deformations in further detail and show that they are isomorphic to the doubleton supermultiplets constructed by using twistorial oscillators.
Fernando Sudarshan
Gunaydin Murat
No associations
LandOfFree
SU(2) deformations of the minimal unitary representation of OSp(8*|2N) as massless 6D conformal supermultiplets 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 SU(2) deformations of the minimal unitary representation of OSp(8*|2N) as massless 6D conformal supermultiplets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SU(2) deformations of the minimal unitary representation of OSp(8*|2N) as massless 6D conformal supermultiplets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-82276