Extended Galilean symmetries of non-relativistic strings
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Publication:1692807
DOI10.1007/JHEP02(2017)049zbMATH Open1377.83109arXiv1611.00026OpenAlexW2548026846MaRDI QIDQ1692807
Author name not available (Why is that?)
Publication date: 10 January 2018
Published in: (Search for Journal in Brave)
Abstract: We consider two non-relativistic strings and their Galilean symmetries. These strings are obtained as the two possible non-relativistic (NR) limits of a relativistic string. One of them is non-vibrating and represents a continuum of non-relativistic massless particles, and the other one is a non-relativistic vibrating string. For both cases we write the generator of the most general point transformation and impose the condition of Noether symmetry. As a result we obtain two sets of non-relativistic Killing equations for the vector fields that generate the symmetry transformations. Solving these equations shows that NR strings exhibit two extended, infinite dimensional space-time symmetries which contain, as a subset, the Galilean symmetries. For each case, we compute the associated conserved charges and discuss the existence of non-central extensions.
Full work available at URL: https://arxiv.org/abs/1611.00026
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