Spectrum of D = 6 , N = 4 b Supergravity on AdS

The complete spectrum of D = 6, N = 4b supergravity with n tensor multiplets compactified on AdS 3 × S 3 is determined. The D = 6 theory obtained from the K 3 compactification of Type IIB string requires that n = 21, but we let n be arbitrary. The superalgebra that underlies the symmetry of the resulting supergravity theory in AdS 3 coupled to matter is SU (1, 1|2) L × SU (1, 1|2) R. The theory also has an unbroken global SO(4) R × SO(n) symmetry inherited from D = 6. The spectrum of states arranges itself into a tower of spin 2 supermultiplets, a tower of spin 1, SO(n) singlet supermultiplets, a tower of spin 1 supermultiplets in the vector representation of SO(n) and a special spin 1 2 supermultiplet also in the vector representation of SO(n). The SU (2) L × SU (2) R Yang-Mills states reside in the second level of the spin 2 tower and the lowest level of the spin 1, SO(n) singlet tower and the associated field theory exhibits interesting properties.