Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1

Ali Hosseiny

doi:10.1063/1.4884415

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arXiv · 1403.4537

Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1

Ali Hosseiny

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Abstract

We investigate possibility of central extension for non-relativistic conformal algebras in 1+1 dimension. Three different forms of charges can be suggested. A trivial charge for temporal part of the algebra exists for all elements of l-Galilei algebra class. In attempt to find a central extension as of CGA for other elements of the l-Galilei class, possibility for such extension was excluded. For integer and half integer elements of the class we can have an infinite extension of the generalized mass charge for the Virasoro-like extended algebra. For finite algebras a regular charge inspired by Schrödinger central extension is possible.

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Ali Hosseiny. 2014-06-18. Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1. https://doi.org/10.1063/1.4884415

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