Abstract
Abstract
We study a generalization of 4-dimensional BF-theory in the context of higher gauge theory. We construct a triangulation independent topological state sum Z, based on the classical 3BF action for a general 3-group and a 4-dimensional spacetime manifold $$ \mathcal{M} $$
M
4. This state sum coincides with Porter’s TQFT for d = 4 and n = 3. In order to verify that the constructed state sum is a topological invariant of the underlying 4-dimensional manifold, its behavior under Pachner moves is analyzed, and it is obtained that the state sum Z remains the same. This paper is a generalization of the work done by Girelli, Pfeiffer, and Popescu for the case of state sum based on the classical 2BF action with the underlying 2-group structure.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference52 articles.
1. C. Rovelli, Quantum Gravity, Cambridge University Press, Cambridge, U.K. (2004).
2. C. Rovelli, Zakopane lectures on loop gravity, PoS QGQGS2011 (2011) 003 [arXiv:1102.3660] [INSPIRE].
3. T. Thiemann, Modern Canonical Quantum General Relativity, Cambridge University Press, Cambridge, U.K. (2007).
4. C. Rovelli and F. Vidotto, Covariant Loop Quantum Gravity, Cambridge University Press, Cambridge, U.K. (2014).
5. J.F. Plebanski, On the separation of Einsteinian substructures, J. Math. Phys. 18 (1977) 2511 [INSPIRE].
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