Torsional Topological Invariants
arXiv:1804.07440 · doi:10.1103/PhysRevD.98.104045
Abstract
Making use of the SO(3,1) Lorentz algebra, we derive in this paper two series of Gauss-Bonnet type identities involving torsion, one being of the Pontryagin type and the other of the Euler type. Two of the six identities involve only torsional tensorial entities and are purely torsional topological invariants.
References in corpus (9)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Interaction of the Barbero--Immirzi Field with Matter and Pseudo-Scalar Perturbations
- Barbero-Immirzi field in canonical formalism of pure gravity
- Peccei--Quinn mechanism in gravity and the nature of the Barbero--Immirzi parameter
- Topological Interpretation of Barbero-Immirzi Parameter
- From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functional
- Planck's quantum-driven integer quantum Hall effect in chaos
- Emergence of integer quantum Hall effect from chaos
- Index Theorems on Torsional Geometries
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