Open string star as a continuous Moyal product

Michael R. Douglas, Hong Liu, Gregory Moore, Barton Zwiebach

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


We establish that the open string star product in the zero momentum sector can be described as a continuous tensor product of mutually commuting two dimensional Moyal star products. Let the continuous variable κ ε [0, ∞) parametrize the eigenvalues of the Neumann matrices; then the noncommutativity parameter is given by θ(κ) = 2 tanh(πκ/4). For each κ, the Moyal coordinates are a linear combination of even position modes, and the Fourier transform of a linear combination of odd position modes. The commuting coordinate at κ = 0 is identified as the momentum carried by half the string. We discuss the relation to Bars' work, and attempt to write the string field action as a noncommutative field theory.

Original languageEnglish (US)
Pages (from-to)487-513
Number of pages27
JournalJournal of High Energy Physics
Issue number4
StatePublished - Apr 1 2002

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Bosonic Strings
  • Non-Commutative Geometry
  • String Field Theory


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