Realizations of conformal and Heisenberg algebras in PP-wave-CFT correpondence

Sumit R. Das, Cesar Gomez

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We elaborate on the symmetry breaking pattern involved in the Penrose limit of AdSd+1 × Sd+1 spacetimes and the corresponding limit of the CFT dual. For d = 2 we examine in detail how the symmetries contract to products of rotation and Heisenberg algebras, both from the bulk and CFT points of view. Using a free field realization of these algebras acting on products of elementary fields of the CFT with SO(2) R charge +1, we show that this process of contraction restricts all the fields to a few low angular momentum modes and ensures that the field with R charge -1 does not appear. This provides an understanding of several important aspects of the proposal of Berenstein, Maldacena and Nastase. We also indicate how the contraction can be performed on correlation functions.

Original languageEnglish
Pages (from-to)431-455
Number of pages25
JournalJournal of High Energy Physics
Issue number7
StatePublished - Jul 1 2002


  • AdS/CFT and dS/CFT Correspondence
  • Penrose limit and pp-wave background

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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