Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-03-17
Nucl.Phys.B528:432-450,1998
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, LaTex ; footnotes 5 and 6 modified and 3 new references added
Scientific paper
10.1016/S0550-3213(98)00393-9
We review the oscillator construction of the unitary representations of noncompact groups and supergroups and study the unitary supermultiplets of OSp(1/32,R) in relation to M-theory. OSp(1/32,R) has a singleton supermultiplet consisting of a scalar and a spinor field. Parity invariance leads us to consider OSp(1/32,R)_L X OSp(1/32,R)_R as the "minimal" generalized AdS supersymmetry algebra of M-theory corresponding to the embedding of two spinor representations of SO(10,2) in the fundamental representation of Sp(32,R). The contraction to the Poincare superalgebra with central charges proceeds via a diagonal subsupergroup OSp(1/32,R)_{L-R} which contains the common subgroup SO(10,1) of the two SO(10,2) factors. The parity invariant singleton supermultiplet of OSp(1/32,R)_L \times OSp(1/32,R)_R decomposes into an infinite set of "doubleton" supermultiplets of the diagonal OSp(1/32,R)_{L-R}. There is a unique "CPT self-conjugate" doubleton supermultiplet whose tensor product with itself yields the "massless" generalized AdS_{11} supermultiplets. The massless graviton supermultiplet contains fields corresponding to those of 11-dimensional supergravity plus additional ones. Assuming that an AdS phase of M-theory exists we argue that the doubleton field theory must be the holographic superconformal field theory in ten dimensions that is dual to M-theory in the same sense as the duality between the N=4 super Yang-Mills in d=4 and the IIB superstring over AdS_5 X S^5.
No associations
LandOfFree
Unitary Supermultiplets of OSp(1/32,R) and M-theory 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 Unitary Supermultiplets of OSp(1/32,R) and M-theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unitary Supermultiplets of OSp(1/32,R) and M-theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-707536