The complete spectrum of D = 6, N = 4b supergravity with n tensor multiplets compactified on AdS3 × S3 is determined. The D = 6 theory obtained from the K3 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 AdS3 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.
- AdS supergravity
ASJC Scopus subject areas
- Nuclear and High Energy Physics