Topological M-theory, self-dual gravity and the Immirzi parameter

DOI10.1088/1361-6382/aacebfzbMath1409.83128OpenAlexW2810062962WikidataQ129648648 ScholiaQ129648648MaRDI QIDQ3120858

Javier Chagoya, M. Sabido

Publication date: 19 March 2019

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6382/aacebf

zbMATH Keywords

3d gravityChern-Simons actiontopological M-theoryHitchin functionalsImmirzi ambiguity

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05) Topological field theories in quantum mechanics (81T45) Analogues of general relativity in lower dimensions (83C80) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (3)

Vector-tensor gravity from a broken gauge symmetry ⋮ Born-Infeld gravity from the MacDowell-Mansouri action and its associated \(\beta\)-term ⋮ Before spacetime: a proposal of a framework for multiverse quantum cosmology based on three cosmological conjectures

Cites Work

• Supergravity-matter actions in three dimensions and Chern-Simons terms
• A note on the Holst action, the time gauge, and the Barbero-Immirzi parameter
• \(2+1\)-dimensional gravity as an exactly soluble system
• A quantization of topological \(\mathcal M\) theory
• Topologically massive AdS gravity
• Einstein metrics on \(S^ 3\), \(R^ 3\) and \(R^ 4\) bundles
• Metrics with exceptional holonomy
• Geometrodynamics vs. connection dynamics
• The geometry of three-forms in six dimensions.
• On the construction of some complete metrics with exceptional holonomy
• Topological M-theory as unification of form theories of gravity
• Actions, topological terms and boundaries in first-order gravity: A review
• Chern–Simons forms in gravitation theories
• Quantization of Lorentzian 3D gravity by partial gauge fixing
• 6D Interpretation of 3D Gravity
• The Immirzi parameter as an instanton angle
• A Immirzi-like parameter for 3D quantum gravity
• Manifolds admitting stable forms
• 2+1 quantum gravity with a Barbero–Immirzi-like parameter on toric spatial foliation
• An identity in Riemann–Cartan geometry
• Real and complex connections for canonical gravity
• Bianchi IX self-dual Einstein metrics and singular G ₂ manifolds
• BF gravity

This page was built for publication: Topological M-theory, self-dual gravity and the Immirzi parameter