Dynamics of 3-forms in seven dimensions

DOI10.1088/1361-6382/aa8b45zbMath1380.83021arXiv1705.01741OpenAlexW3098134130MaRDI QIDQ4605326

Kirill V. Krasnov

Publication date: 22 February 2018

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

Full work available at URL: https://arxiv.org/abs/1705.01741

zbMATH Keywords

dimensional reductionChern-Simons theoryself-dualityG2 structuresPlebanski formulation of GR

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (3)

Topological field theories of 2- and 3-forms in six dimensions ⋮ General relativity from three-forms in seven dimensions ⋮ Fermions, differential forms and doubled geometry

Cites Work

• Unnamed Item
• Plebański formulation of general relativity: a practical introduction
• \(2+1\)-dimensional gravity as an exactly soluble system
• General relativity from three-forms in seven dimensions
• The partition function of a degenerate functional
• The partition function of degenerate quadratic functional and Ray-Singer invariants
• On nearly parallel \(G_2\)-structures
• The geometry of three-forms in six dimensions.
• Exactly soluble diffeomorphism invariant theories
• A 4D gravity theory and \(G_2\)-holonomy manifolds
• 6D Interpretation of 3D Gravity
• Plebanski gravity without the simplicity constraints
• On the separation of Einsteinian substructures
• \(k\)-inflation

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