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 \( \mathbb{R} \) 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 \( \mathbb{R} \) 3, we obtain higher BF-theory on this quantized space.
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Ritter, P., Sämann, C. Lie 2-algebra models. J. High Energ. Phys. 2014, 66 (2014). https://doi.org/10.1007/JHEP04(2014)066
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DOI: https://doi.org/10.1007/JHEP04(2014)066