The singular geometry of the sliver

Gregory Moore, Washington Taylor

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


We consider "sliver" states which act as projection operators in the matter star product of Witten's cubic string field theory. These sliver states, which might be associated with Dp-branes, are not finite norm states in the matter string Hilbert space. We describe the singularities of these states, and demonstrate that the sliver states are composed of strings having singular geometric features. These singularities take a particularly simple form in the zero slope limit α′ → 0, where the star algebra factorizes into a product of the algebra of functions on space-time and the non-commutative star product of fields associated with higher string modes. An analogy to the sliver geometry suggests a natural mechanism for describing closed string states in open string field theory.

Original languageEnglish (US)
Pages (from-to)71-97
Number of pages27
JournalJournal of High Energy Physics
Issue number1
StatePublished - Jan 1 2002

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Bosonic Strings
  • D-branes
  • Spontaneous Symmetry Breaking


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