Some interesting violations of the Breitenlohner-Freedman bound

Steven S. Gubser; Indrajit Mitra

doi:10.1088/1126-6708/2002/07/044

Some interesting violations of the Breitenlohner-Freedman bound

Steven S. Gubser, Indrajit Mitra

Physics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We demonstrate that AdS₅ × T^pq is unstable, in the sense of Breitenlohner and Freedman, for unequal p and q. This settles, negatively, the long-standing question of whether the T^pq manifolds for unequal p and q might correspond to non-supersymmetric fixed points of the renormalization group. We also show that the AdS₃ × S ⁷ vacuum of Sugimoto's USp(32) open string theory is unstable. This explains, at a heuristic level, the apparent absence of a heterotic string dual.

Original language	English (US)
Pages (from-to)	1145-1159
Number of pages	15
Journal	Journal of High Energy Physics
Volume	6
Issue number	7
DOIs	https://doi.org/10.1088/1126-6708/2002/07/044
State	Published - Jul 1 2002

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

AdS/CFT and ds/CFT Correspondence
Superstring Vacua

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10.1088/1126-6708/2002/07/044

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abstract = "We demonstrate that AdS5 × Tpq is unstable, in the sense of Breitenlohner and Freedman, for unequal p and q. This settles, negatively, the long-standing question of whether the Tpq manifolds for unequal p and q might correspond to non-supersymmetric fixed points of the renormalization group. We also show that the AdS3 × S 7 vacuum of Sugimoto's USp(32) open string theory is unstable. This explains, at a heuristic level, the apparent absence of a heterotic string dual.",

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AB - We demonstrate that AdS5 × Tpq is unstable, in the sense of Breitenlohner and Freedman, for unequal p and q. This settles, negatively, the long-standing question of whether the Tpq manifolds for unequal p and q might correspond to non-supersymmetric fixed points of the renormalization group. We also show that the AdS3 × S 7 vacuum of Sugimoto's USp(32) open string theory is unstable. This explains, at a heuristic level, the apparent absence of a heterotic string dual.

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KW - Superstring Vacua

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Some interesting violations of the Breitenlohner-Freedman bound

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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