Holographie noncommutativity

David S. Berman, Vanicson L. Campos, Martin Cederwall, Ulf Gran, Henric Larsson, Mikkel Nielsen, Bengt E.W. Nilsson, Per Sundell

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

We examine noncommutative Yang-Mills and open string theories using magnetically and electrically deformed supergravity duals. The duals are near horizon regions of Dp-brane bound state solutions which are obtained by using O(p + l,p+l) transformations of Dp-branes. The action of the T-duality group implies that the noncommutativity parameter is constant along holographic RG-flows. The moduli of the noncommutative theory, i.e. the open string metric and coupling constant, as well as the zero-force condition are shown to be invariant under the O(p + l,p+ 1) transformation, i.e. deformation independent. We find sufficient conditions, including zero force and constant dilaton in the ISO(3, l)-invariant D3-brane solution, for exact S-duality between noncommutative Yang-Mills and open string theories. These results are used to construct noncommutative field and string theories with A/ = 1 supersymmetry from the T11) and Pilch-Warner solutions. The latter has a non-trivial zero-force condition due to the warping.

Original languageEnglish
Pages (from-to)XII-32
JournalJournal of High Energy Physics
Volume5
Issue number5
Publication statusPublished - 2001

Keywords

  • D-branes
  • Duality in Gauge Field Theories
  • String Duality
  • Superstring Vacua

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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