Six-dimensional supergravity on S**3 x AdS(3) and 2-D conformal field theory
Jun, 199832 pages
Published in:
- Nucl.Phys.B 548 (1999) 139-166
e-Print:
- hep-th/9806104 [hep-th]
Report number:
- LBL-41931,
- LBNL-41931,
- UCB-PTH-98-32
Citations per year
Abstract: (Elsevier)
In this paper we study the relation between six-dimensional supergravity compactified on S 3 × 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 × S 3 × AdS 3 and of M-theory on M 6 × S 2 × AdS 3 are computed, with M 6 some Calabi-Yau manifold.Note:
- 32 pages, LaTeX; minor corrections, reference added
- supergravity
- dimension: 6
- dimension: 5
- space: anti-de Sitter
- field theory: conformal
- Kaluza-Klein model
- F-theory
- M-theory
- algebra: chiral
- group theory: representation
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