Complete integrability of two-dimensional gravity with dynamical torsion

DOI10.1063/1.528823zbMath0702.53065OpenAlexW1974883060MaRDI QIDQ3480871

M. O. Katanaev

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528823

zbMATH Keywords

Cauchy problemLagrangiandynamical torsiontwo-dimensional gravity

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of global differential geometry to the sciences (53C80) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (12)

String theory and an integrable model in two-dimensional gravity with dynamical torsion ⋮ Novel symmetry of non-Einsteinian gravity in two dimensions ⋮ Euclidean two-dimensional gravity with torsion ⋮ Multiexponential models of \((1+1)\)-dimensional dilaton gravity and Toda-Liouville integrable models ⋮ Canonical quantization of the string with dynamical geometry and anomaly free nontrivial string in two dimensions ⋮ GAUGE MODELS IN MODIFIED TRIPLECTIC QUANTIZATION ⋮ New constraints in dynamical torsion theory ⋮ Global properties of warped solutions in general relativity ⋮ All universal coverings of two-dimensional gravity with torsion ⋮ Black hole solutions of two-dimensional Riemann-Cartan gravity with higher-derivative action ⋮ A Model of Affine Gravity in Two Dimensions and Plurality of Topology ⋮ Non-linear gauge symmetry in \(R^2\)-gravity in two dimensions

Cites Work

• An exact operator solution of the quantum Liouville field theory
• On the quantization of the Liouville Theory

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