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SUMMARY:Tijana Radenković (Institute of Physics\, Belgrade)
DTSTART:20211013T160000Z
DTEND:20211013T170000Z
DTSTAMP:20260423T021428Z
UID:TQFT/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/45/">To
 pological higher gauge theory - from 2BF to 3BF theory</a>\nby Tijana Rade
 nković (Institute of Physics\, Belgrade) as part of Topological Quantum F
 ield Theory Club (IST\, Lisbon)\n\n\nAbstract\nWe study a generalization o
 f BF-theories in the context of higher gauge theory. We construct a topolo
 gical state sum Z\, based on the classical 3BF action for a general semist
 rict Lie 3-group and a triangulation of a 4-dimensional spacetime manifold
 . The 3BF action is constructed using a 2-crossed module which encodes a 3
 -group (as introduced by Picken and Faria Martins [1])\, while the state s
 um Z is an example of Porter’s TQFT [2] for d=4 and n=3. In order to ver
 ify that the constructed state sum is a topological invariant of the under
 lying manifold\, its behavior under Pachner moves is analyzed\, and it is 
 obtained that the state sum Z remains the same. Our results are a generali
 zation of the work done by Girelli\, Pfeiffer\, and Popescu [3] for the ca
 se of state sum based on the classical 2BF action with the underlying 2-gr
 oup structure.\n<p>\n[1] J. Faria Martins and R. Picken\, Diff. Geom. Appl
 . 29\, 179 (2011)\, arXiv:0907.2566.\n</p>\n<p>\n[2] T. Porter\, J. Lond. 
 Math. Soc. (2)58\, No. 3\, 723 (1998)\, MR 1678163.\n</p>\n<p>\n[3] F. Gir
 elli\, H. Pfeiffer and E. M. Popescu\, Jour. Math. Phys. 49\, 032503 (2008
 )\, arXiv:0708.3051.\n</p>\n
LOCATION:https://researchseminars.org/talk/TQFT/45/
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