A 2-group construction from an extension of the 3-loop group Omega 3G

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Mickelsson , J & Niemimäki , O 2019 , ' A 2-group construction from an extension of the 3-loop group Omega 3G ' , Letters in Mathematical Physics , vol. 109 , no. 12 , pp. 2649-2664 . https://doi.org/10.1007/s11005-019-01201-y

Title: A 2-group construction from an extension of the 3-loop group Omega 3G
Author: Mickelsson, Jouko; Niemimäki, Ossi
Contributor: University of Helsinki, Department of Mathematics and Statistics
University of Helsinki, Department of Mathematics and Statistics
Date: 2019-12
Language: eng
Number of pages: 16
Belongs to series: Letters in Mathematical Physics
ISSN: 0377-9017
URI: http://hdl.handle.net/10138/311250
Abstract: We define a 3-loop group Omega(3)G as a subgroup of smooth maps from a 3-ball to a Lie group G, and then construct a 2-group based on an automorphic action on the Mickelsson-Faddeev extension of Omega(3)G. In this, we follow the strategy of Murray et al. (J Lie Theory 27(4):1151-1177, 2017), who earlier described a similar construction for one-dimensional loops. The three-dimensional situation presented here is further complicated by the fact that the 3-loop group extension is not central.
Subject: Loop group
Lie 2-group
Mickelsson-Faddeev extension
GERBES
111 Mathematics
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