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The Null Decomposition of Conformal Algebras

Dana Mihai·George A. J. Sparling
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Abstract

We analyze the decomposition of the enveloping algebra of the conformal algebra in arbitrary dimension with respect to the mass-squared operator. It emerges that the subalgebra that commutes with the mass-squared is generated by its Poincare subalgebra together with a vector operator. The special cases of the conformal algebras of two and three dimensions are described in detail, including the construction of their Casimir operators.

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Dana Mihai, George A. J. Sparling. 2006-07-01. The Null Decomposition of Conformal Algebras. https://doi.org/10.1063/1.2722534

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