Supergravity and D-branes wrapping supersymmetric 3-cycles

Harald Nieder, Yaron Oz

Research output: Contribution to journalArticlepeer-review

Abstract

We construct dual supergravity descriptions of D3-branes wrapping associative 3-cycles L. We analyse the conditions for having five-dimensional background solutions of the form AdS2 × L and show that they require L to be of constant negative curvature type. This provides AdS2 background solutions when L is the hyperbolic space H3 or its quotients by subgroups of its isometry group. We construct a regular numerical solution interpolating between AdS5 in the UV and AdS2 × H3 in the IR. The IR fixed point exists at the "intersection" of the Coulomb and Higgs branches. We analyse the singular supergravity solutions which correspond to moving into the Higgs and the Coulomb branches. For negative constant curvature spaces the singularity is of a "good" type in the Higgs branch and of a "bad" type in the Coulomb branch. For positive constant curvature spaces such as S3 the singularity is of a "bad" type in both the Higgs and the Coulomb branches. We discuss the meaning of these results.

Original languageEnglish
Pages (from-to)XVIII-29
JournalJournal of High Energy Physics
Volume5
Issue number3
DOIs
StatePublished - 2001
Externally publishedYes

Keywords

  • AdS/CFT correspondance
  • D-branes

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