Lie 2-algebra models

Patricia Ritter, Christian Saemann

Research output: Contribution to journalArticle

7 Citations (Scopus)
97 Downloads (Pure)

Abstract

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 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 3, we obtain higher BF-theory on this quantized space.

Original languageEnglish
Article number066
JournalJournal of High Energy Physics
Volume2014
Issue number4
DOIs
Publication statusPublished - Apr 2014

Keywords

  • M(atrix) Theories
  • M-Theory
  • Matrix Models
  • Non-Commutative Geometry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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