Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory

Details Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory

1998-06-12

arxiv.org/abs/hep-th/9806104v2

Nucl.Phys. B548 (1999) 139-166

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, LaTeX; minor corrections, reference added

Scientific paper

10.1016/S0550-3213(99)00160-1

In this paper we study the relation between six-dimensional supergravity compactified on S^3 X AdS_3 and certain two-dimensional conformal field theories. We compute the Kaluza-Klein spectrum of supergravity using representation theory; these methods are quite general and can also be applied to other compactifications involving anti-de Sitter spaces. A detailed comparison between the spectrum of the two-dimensional conformal field theory and supergravity is made, and we find complete agreement. This applies even at the level of certain non-chiral primaries, and we propose a resolution to the puzzle of the missing states recently raised by Vafa. As a further illustration of the method the Kaluza-Klein spectra of F-theory on M^6 X S^3 X AdS_3 and of M-theory on M^6 X S^2 X AdS_3 are computed, with M^6 some Calabi-Yau manifold.

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