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2012

Some representations of planar Galilean conformal algebra

Aizawa, N.

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Representation theory of an infinite dimensional Galilean conformal algebra introduced by Martelli and Tachikawa is developed.

We focus on the algebra defined in (2+1) dimensional spacetime and consider central extension.
It is then shown that the Verma modules are irreducible for non-vanishing highest weights.
This is done by explicit computation of Kac determinant.

Some representations of planar Galilean conformal algebra · Around

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V. G. Kac, A. K. Raina,
1987
Earlier work this paper cites.
E. Witten
1988
Earlier work this paper cites.
I. Bakas,
1988
Earlier work this paper cites.
M. Henkel,
1994
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