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.
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ArXiv ePrint: 1611.00026
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Batlle, C., Gomis, J. & Not, D. Extended Galilean symmetries of non-relativistic strings. J. High Energ. Phys. 2017, 49 (2017). https://doi.org/10.1007/JHEP02(2017)049
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DOI: https://doi.org/10.1007/JHEP02(2017)049