Lie 2-algebra models

Patricia Ritter, Christian Saemann

Research output: Contribution to journalArticle

7 Citations (Scopus)


In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases. They feature solutions that can be interpreted as quantized 2-plectic manifolds. In particular, we find solutions corresponding to quantizations of R^3, S^3 and a five-dimensional Hpp-wave. Moreover, by expanding a certain class of Lie 2-algebra models around the solution corresponding to quantized R^3, we obtain higher BF-theory on this quantized space.
Original languageUndefined/Unknown
Number of pages47
JournalJournal of High Energy Physics
Publication statusPublished - 22 Aug 2013


  • hep-th
  • math-ph
  • math.MP

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