Six-dimensional supergravity on S3 x AdS3 and 2d conformal field theory

被引:244
作者
de Boer, J
机构
[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Lawrence Berkeley Lab, Theoret Phys Grp, Berkeley, CA 94720 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0550-3213(99)00160-1
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:139 / 166
页数:28
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