Topological invariant of 4-manifolds based on a 3-group
نویسندگان
چکیده
We study a generalization of 4-dimensional BF-theory in the context higher gauge theory. construct triangulation independent topological state sum Z, based on classical 3BF action for general 3-group and spacetime manifold. This coincides with Porter's TQFT d=4 n=3. In order to verify that constructed is invariant underlying manifold, its behavior under Pachner moves analyzed, it obtained Z remains same. paper work done by Girelli, Pfeiffer, Popescu case 2BF 2-group structure.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2022
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep07(2022)105