Higher-order Galilean contractions

Rasmussen, Jørgen (School of Mathematics and Physics, University of Queensland St Lucia, Brisbane, Queensland 4072, Australia) ; Raymond, Christopher (School of Mathematics and Physics, University of Queensland St Lucia, Brisbane, Queensland 4072, Australia)

26 June 2019

Abstract: A Galilean contraction is a way to construct Galilean conformal algebras from a pair of infinite-dimensional conformal algebras, or equivalently, a method for contracting tensor products of vertex algebras. Here, we present a generalisation of the Galilean contraction prescription to allow for inputs of any finite number of conformal algebras, resulting in new classes of higher-order Galilean conformal algebras. We provide several detailed examples, including infinite hierarchies of higher-order Galilean Virasoro algebras, affine Kac-Moody algebras and the associated Sugawara constructions, and W3 algebras.


Published in: Nuclear Physics B 945 (2019) DOI: 10.1016/j.nuclphysb.2019.114680
License: CC-BY-3.0



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