Extended Galilean symmetries of non-relativistic strings
Tipo de documentoArtículo
Fecha de publicación2017-02-09
Condiciones de accesoAcceso abierto
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.
CitaciónBatlle, C., Gomis, J., Not, D. Extended Galilean symmetries of non-relativistic strings. "Journal of high energy physics", 9 Febrer 2017, vol. 49, núm. 2.
Versión del editorhttp://link.springer.com/article/10.1007%2FJHEP02%282017%29049