Singletons, Doubletons and M-theory

Murat Gunaydin; Djordje Minic

doi:10.1016/S0550-3213(98)00225-9

paper

Singletons, Doubletons and M-theory

arXiv:hep-th/9802047 · doi:10.1016/S0550-3213(98)00225-9

Abstract

We identify the two dimensional AdS subsupergroup $O S p (16/2, R)$ of the M-theory supergroup $O S p (1/32, R)$ which captures the dynamics of $n$ $D 0$ -branes in the large $n$ limit of Matrix theory. The $S p (2, R)$ factor in the even subgroup $S O (16) \times S p (2, R)$ of $O S p (16/2, R)$ corresponds to the AdS extension of the Poincare symmetry of the longitudinal directions. The infinite number of $D 0$ -branes with ever increasing and quantized values of longitudinal momenta are identified with the Fourier modes of the singleton supermultiplets of $O S p (16/2, R)$ ,which consist of 128 bosons and 128 fermions. The large $n$ limit of N=16 U(n) Yang-Mills quantum mechanics which describes Matrix theory is a conformally invariant N=16 singleton quantum mechanics living on the boundary of $A d S_{2}$ . We also review some of the earlier results on the spectra of Kaluza-Klein supergravity theories in relation to the recent conjecture of Maldacena relating the dynamics of $n$ $D p$ -branes to certain AdS supergravity theories. We point out the remarkable parallel between the conjecture of Maldacena and the construction of the spectra of $11 - d$ and type $I I B$ supergravity theories compactified over various spheres in terms of singleton or doubleton supermultiplets of corresponding AdS supergroups.

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Singletons, Doubletons and M-theory

Abstract

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