U(1)-invariant membranes: The geometric formulation, Abel, and pendulum differential equations

DOI10.1063/1.3430566zbMath1311.81201arXiv0905.2095OpenAlexW2117706191WikidataQ115333429 ScholiaQ115333429MaRDI QIDQ5251262

Maciej Trzetrzelewski, Aleksandr A. Zheltukhin

Publication date: 19 May 2015

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

Full work available at URL: https://arxiv.org/abs/0905.2095

zbMATH Keywords

M-Theory

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Quantization in field theory; cohomological methods (81T70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Membranes (74K15) Kaluza-Klein and other higher-dimensional theories (83E15) Constrained dynamics, Dirac's theory of constraints (70H45) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (7)

The integrability and existence of periodic solutions on a first-order nonlinear differential equation with a polynomial nonlinear term ⋮ Toroidal \(p\)-branes, anharmonic oscillators and (hyper)elliptic solutions ⋮ Gauge theory approach to branes and spontaneous symmetry breaking ⋮ A geometric approach to integrability of Abel differential equations ⋮ Quasi-Lie schemes for PDEs ⋮ Quasi-Lie families, schemes, invariants and their applications to Abel equations ⋮ \(\mathrm{U}(1)\)-invariant minimal hypersurfaces in \(\mathbb{R}^{1, 3}\)

Cites Work

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• Gauge description and nonlinear string equations in d-dimensional space- time
• \(U(1)\) invariant membranes and singularities
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• String theory dynamics in various dimensions
• An extensible model of the electron
• Unified approach to strings and vortices with soliton solutions

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