## Abstract

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.

Original language | English |
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Pages (from-to) | 110-140 |

Number of pages | 31 |

Journal | Nuclear Physics B |

Volume | 536 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 21 Dec 1998 |

## Keywords

- AdS supergravity
- Compactification
- Spectrum

## ASJC Scopus subject areas

- Nuclear and High Energy Physics