[institut] [phys4phys] Group for Gravitation, Particles and Fields seminar, Friday, 21 February 2025

[prlina]

Dear colleagues,

You are cordially invited to the seminar of the Group for Gravitation, 
Particles and Fields, which will be held on Friday, 21 February 2025, at 
11:00 at the Institute of Physics Belgrade, lecture hall 360.

The talk entitled:

The 3BF theory as a TQFT

will be given by Tijana Radenković (Institute of Physics Belgrade).

Abstract: We study the path integral quantization of the topological 3BF 
theory, whose gauge symmetry is described by a 3-group. This theory is 
relevant for the quantization of general relativity coupled to Standard 
Model of elementary particles. We explicitly construct a state sum 
corresponding to the discretized path integral of a 3BF action. Being a 
topological invariant of 4-dimensional manifolds with boundary, this 
state sum gives rise to a topological quantum field theory (TQFT), 
realized as a functor between the category of cobordisms and the 
category of Hilbert spaces. After an introduction to appropriate 
category theory concepts and the construction of the state sum, we 
provide an explicit proof that it satisfies all Atiyah's axioms, and 
thus represents a genuine TQFT. The formulation of this TQFT represents 
a major step in the spinfoam quantization programme for a realistic 
theory of quantum gravity with matter.

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Time: February 21, 2025 11:00 Belgrade

Institute of Physics Belgrade, lecture hall 360, 2nd floor

BigBlueButton platform link: 
https://gravityserver.ipb.ac.rs/b/mar-ae0-f4q-qww

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Best regards,
Igor Prlina
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