2014/01/31 by Giandomenico Palumbo
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dirac fermion #Fermion #General relativity #Gravitation #Gravitational field #Instanton #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spin connection #Theoretical physics #Topological quantum field theory #Topology (electrical circuits) #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/s0217732316500152
published as Mod. Phys. Lett. A 31, 1650015 (2016) · 7 pages, published version
openalex publication_date 2016/01/05 · arxiv created 2016/01/17 · arxiv updated 2016/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Effective topological field theories describe the properties of Dirac fermions in the low-energy regime. In this work, we introduce a new emergent gravity model by considering Dirac fermions invariant under local de Sitter transformations in four-dimensional open manifolds. In the context of Cartan geometry, fermions couple to spacetime through a Spin(5) Cartan connection that can be decomposed in spin connection and tetrads. In presence of a gravitational instanton background, we show that the corresponding effective topological field theory becomes a dynamical gravitational theory with a positive cosmological constant and Barbero–Immirzi parameter. At the classical level and in the absence of matter, this theory is compatible with general relativity (GR).