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arXiv · 1611.00026

Extended Galilean symmetries of non-relativistic strings

Carles Batlle·Joaquim Gomis·Daniel Not
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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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Carles Batlle, Joaquim Gomis, Daniel Not. 2017-01-23. Extended Galilean symmetries of non-relativistic strings. https://doi.org/10.1007/jhep02(2017)049

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