Penrose limits of Lie Branes and a Nappi-Witten braneworld

Sonia Stanciu*, José Figueroa-O'Farrill

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Departing from the observation that the Penrose limit of AdS3 × S3 is a group contraction in the sense of Inönü and Wigner, we explore the relation between the symmetric D-branes of AdS 3 × S3 and those of its Penrose limit, a six-dimensional symmetric plane wave analogous to the four-dimensional Nappi-Witten spacetime. Both backgrounds are Lie groups admitting bi-invariant lorentzian metrics and symmetric D-branes wrap their (twisted) conjugacy classes. We determine the (twisted and untwisted) symmetric D-branes in the plane wave background and we prove the existence of a space-filling D5-brane and, separately, of a foliation by D3-branes with the geometry of the Nappi-Witten spacetime which can be understood as the Penrose limit of the AdS2 × S2 D3-brane in AdS3 × S 3. Parenthetically we also derive a simple criterion for a symmetric plane wave to be isometric to a lorentzian Lie group. In particular we observe that the maximally supersymmetric plane wave in IIB string theory is isometric to a lorentzian Lie group, whereas the one in M-theory is not.

Original languageEnglish
Pages (from-to)589-609
Number of pages21
Journal Journal of High Energy Physics
Volume7
Issue number6
DOIs
Publication statusPublished - 17 Jun 2003

Keywords / Materials (for Non-textual outputs)

  • D-branes
  • Penrose limit and pp-wave background

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