A generalization of the Virasoro algebra to arbitrary dimensions

Details A generalization of the Virasoro algebra to arbitrary dimensions A generalization of the Virasoro algebra to arbitrary dimensions

2011-05-30

arxiv.org/abs/1105.6072v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

Colored tensor models generalize matrix models in higher dimensions. They admit a 1/N expansion dominated by spherical topologies and exhibit a critical behavior strongly reminiscent of matrix models. In this paper we generalize the colored tensor models to colored models with generic interaction, derive the Schwinger Dyson equations in the large N limit and analyze the associated algebra of constraints satisfied at leading order by the partition function. We show that the constraints form a Lie algebra (indexed by trees) yielding a generalization of the Virasoro algebra in arbitrary dimensions.

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