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arXiv · 1308.4892

Lie 2-algebra models

Patricia Ritter·Christian Saemann
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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 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.

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Patricia Ritter, Christian Saemann. 2014-04-16. Lie 2-algebra models. https://doi.org/10.1007/jhep04(2014)066

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