Lucio S. Cirio, João Faria Martins
We describe a 2-connection in the configuration space of n indistinguishable particles in the complex plane which categorifies the sl(2,C) Knizhnik-Zamolodchikov connection obtained from the adjoint representation of sl(2,C). This will be done by considering the adjoint categorical representation of the string Lie 2-algebra and the notion of an infinitesimal 2-R-matrix with respect to a categorical representation of a differential crossed module, in a chain complex of vector spaces.
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http://arxiv.org/abs/1207.1132
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