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Comments on Global Symmetries and Anomalies of 5d SCFTs. [PDF]

open access: yesCommun Math Phys
Benetti Genolini P, Tizzano L.
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Lie symmetries and superintegrability

Journal of Physics A: Mathematical and Theoretical, 2012
We show that a known superintegrable system in two-dimensional real Euclidean space (Post and Winternitz 2011 J. Phys. A: Math. Theor. 44 162001) can be transformed into a linear third-order equation: consequently we construct many autonomous integrals?polynomials up to order 18?for the same system.
M.C. Nucci, S. Post
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Lie Symmetries of Ishimori Equation

Communications in Theoretical Physics, 2013
Summary: The Ishimori equation is one of the most important (2+1)-dimensional integrable models, which is an integrable generalization of (1+1)-dimensional classical continuous Heisenberg ferromagnetic spin equations. Based on the importance of Lie symmetries in analysis of differential equations, in this paper we derive Lie symmetries for the Ishimori
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Symmetry in Lie optics

Annals of Physics, 1986
Optical systems are investigated with respect to their symmetries. Special emphasis is paid to refracting surfaces, which have no strict equivalents in mechanics. The \({\mathfrak so}(3)\)-symmetry of a spherical surface is discussed which allows the recursive calculation of its aberration coefficients. Explicit results are given for coefficients up to
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Deformation of Lie derivative and μ-symmetries

Journal of Physics A: Mathematical and Theoretical, 2007
We introduce, in the spirit of Witten's gauging of exterior differential, a deformed Lie derivative that allows a geometrical interpretation of λ- and μ-symmetries, in complete analogy with standard symmetries. The case of variational symmetries (both for ODEs and for PDEs) is also considered in this approach, leading to λ- and μ-conservation laws.
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Lie symmetry analysis of the Heisenberg equation

Communications in Nonlinear Science and Numerical Simulation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhonglong Zhao, Bo Han 0007
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Lie symmetries and integrability

Physics Letters A, 1987
Abstract All two-dimensional time independent potentials admitting point Lie symmetries and Noether symmetries are presented here. Excluding the potentials admitting time translation and dilation symmetries only, they form a small subclass of the known integrable potentials.
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