Abstract
We consider a general approach for the process of Lagrangian and Hamiltonian reduction by symmetries in chiral gauge models. This approach is used to show the complete integrability of several one dimensional texture equations arising in liquid Helium phases and neutron stars.
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Communicated by N. Reshetikhin
F. Gay-Balmaz is partially supported by “Projet incitatif de recherch de l’ENS”, by the government grant of the Russian Federation for support of research projects implemented by leading scientists, Lomonosov Moscow State University under the agreement No. 11.G34.31.0054, and the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
M. Monastyrsky is partially supported by the government grant of the Russian Federation for support of research projects implemented by leading scientists, Lomonosov Moscow State University under the agreement No. 11.G34.31.0054, RFBR grant 13-01-00314, the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, and the Bernoulli Center of the EPFL, Lausanne, Switzerland.
T. S. Ratiu is partially supported by SwissMAP and grant 200020-126630, both from the Swiss National Science Foundation, by the government grant of the Russian Federation for support of research projects implemented by leading scientists, Lomonosov Moscow State University under the agreement No. 11.G34.31.0054, and the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
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Gay-Balmaz, F., Monastyrsky, M. & Ratiu, T.S. Lagrangian Reductions and Integrable Systems in Condensed Matter. Commun. Math. Phys. 335, 609–636 (2015). https://doi.org/10.1007/s00220-015-2317-9
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DOI: https://doi.org/10.1007/s00220-015-2317-9